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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 4056.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4056.c1 | 4056b1 | \([0, -1, 0, -2929, -70955]\) | \(-13312/3\) | \(-626481193728\) | \([]\) | \(6240\) | \(0.98371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4056.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4056.c do not have complex multiplication.Modular form 4056.2.a.c
sage: E.q_eigenform(10)