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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 116380.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116380.c1 | 116380d1 | \([0, -1, 0, 974, 4985]\) | \(524386048/366025\) | \(-71254818800\) | \([]\) | \(101376\) | \(0.77099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116380.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 116380.c do not have complex multiplication.Modular form 116380.2.a.c
sage: E.q_eigenform(10)