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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 258570.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
258570.cu1 | 258570cu1 | \([1, -1, 0, 5813991, 2362513765]\) | \(6176736766011239/4260587175000\) | \(-14991914540227865175000\) | \([]\) | \(19353600\) | \(2.9437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 258570.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 258570.cu do not have complex multiplication.Modular form 258570.2.a.cu
sage: E.q_eigenform(10)