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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1028.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1028.a1 | 1028a1 | \([0, 1, 0, -10, 9]\) | \(7626496/257\) | \(4112\) | \([]\) | \(132\) | \(-0.53409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1028.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1028.a do not have complex multiplication.Modular form 1028.2.a.a
sage: E.q_eigenform(10)