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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 58667.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58667.c1 | 58667a1 | \([1, 0, 0, -6, -8911]\) | \(-1/1421\) | \(-34299485549\) | \([]\) | \(39424\) | \(0.70042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58667.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58667.c do not have complex multiplication.Modular form 58667.2.a.c
sage: E.q_eigenform(10)