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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 117208.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117208.c1 | 117208j1 | \([0, 1, 0, -15536593, 23565980787]\) | \(13770918300093568000/31622653517\) | \(952415632287112448\) | \([]\) | \(3916800\) | \(2.6934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117208.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 117208.c do not have complex multiplication.Modular form 117208.2.a.c
sage: E.q_eigenform(10)