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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 77658.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.c1 | 77658c1 | \([1, 1, 0, 763599, 404326269]\) | \(4212803783/8470728\) | \(-99007565361082563528\) | \([]\) | \(2600640\) | \(2.5213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658.c do not have complex multiplication.Modular form 77658.2.a.c
sage: E.q_eigenform(10)