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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 124912.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124912.c1 | 124912a1 | \([0, 0, 0, 1, 17]\) | \(6912/7807\) | \(-124912\) | \([]\) | \(7808\) | \(-0.34306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124912.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124912.c do not have complex multiplication.Modular form 124912.2.a.c
sage: E.q_eigenform(10)