Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 76a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76.a1 | 76a1 | \([0, -1, 0, -21, -31]\) | \(-4194304/19\) | \(-4864\) | \([]\) | \(6\) | \(-0.44093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76a do not have complex multiplication.Modular form 76.2.a.a
sage: E.q_eigenform(10)