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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 289578.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
289578.c1 | 289578c1 | \([1, 0, 1, 162845, 8056862]\) | \(19785968032823/12608077824\) | \(-304328348434169856\) | \([]\) | \(5723136\) | \(2.0437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289578.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289578.c do not have complex multiplication.Modular form 289578.2.a.c
sage: E.q_eigenform(10)