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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 215950c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.t1 | 215950c1 | \([1, 1, 1, -694763, 227512281]\) | \(-94945363574635345/2444985761792\) | \(-955072563200000000\) | \([]\) | \(4602240\) | \(2.2335\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215950c do not have complex multiplication.Modular form 215950.2.a.c
sage: E.q_eigenform(10)