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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 2256.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2256.c1 | 2256h1 | \([0, -1, 0, -197, -339]\) | \(207474688/102789\) | \(421023744\) | \([]\) | \(1120\) | \(0.34788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2256.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2256.c do not have complex multiplication.Modular form 2256.2.a.c
sage: E.q_eigenform(10)