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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 77616.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.c1 | 77616eo1 | \([0, 0, 0, 140973, -23313710]\) | \(17999471/24057\) | \(-414107660582719488\) | \([]\) | \(1204224\) | \(2.0662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616.c do not have complex multiplication.Modular form 77616.2.a.c
sage: E.q_eigenform(10)