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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 25451.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25451.c1 | 25451a1 | \([1, 1, 1, -54, 136]\) | \(-17434421857/788981\) | \(-788981\) | \([]\) | \(4160\) | \(-0.10424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25451.c1 has rank \(3\).
Complex multiplication
The elliptic curves in class 25451.c do not have complex multiplication.Modular form 25451.2.a.c
sage: E.q_eigenform(10)