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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 200400.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.c1 | 200400z1 | \([0, -1, 0, 210792, -20963088]\) | \(129477420379/98500608\) | \(-788004864000000000\) | \([]\) | \(2826240\) | \(2.1221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400.c do not have complex multiplication.Modular form 200400.2.a.c
sage: E.q_eigenform(10)