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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 77616cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.fu1 | 77616cy1 | \([0, 0, 0, -3906819, 2973011202]\) | \(-34068278205171/10307264\) | \(-1995201672913354752\) | \([]\) | \(1451520\) | \(2.4890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616cy do not have complex multiplication.Modular form 77616.2.a.cy
sage: E.q_eigenform(10)