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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 77616cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.z1 | 77616cn1 | \([0, 0, 0, -5439, -156751]\) | \(-12967168/231\) | \(-316991583216\) | \([]\) | \(122880\) | \(1.0036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77616cn do not have complex multiplication.Modular form 77616.2.a.cn
sage: E.q_eigenform(10)