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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 250075.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250075.c1 | 250075c1 | \([1, 0, 1, 1299, 23423]\) | \(15531437375/24017203\) | \(-375268796875\) | \([]\) | \(282240\) | \(0.90620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250075.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250075.c do not have complex multiplication.Modular form 250075.2.a.c
sage: E.q_eigenform(10)