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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 77315.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77315.c1 | 77315a1 | \([0, 1, 1, -11781, 723795]\) | \(-16777216/11515\) | \(-124122664513435\) | \([]\) | \(229632\) | \(1.4047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77315.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 77315.c do not have complex multiplication.Modular form 77315.2.a.c
sage: E.q_eigenform(10)