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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 95370r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95370.n1 | 95370r1 | \([1, 1, 0, -21431440487, 1207696094661429]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-103627241649895233600000000000\) | \([]\) | \(193881600\) | \(4.6044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95370r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95370r do not have complex multiplication.Modular form 95370.2.a.r
sage: E.q_eigenform(10)