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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1094a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1094.a1 | 1094a1 | \([1, 0, 1, -7, 6]\) | \(-30664297/2188\) | \(-2188\) | \([]\) | \(88\) | \(-0.60910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1094a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1094a do not have complex multiplication.Modular form 1094.2.a.a
sage: E.q_eigenform(10)