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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 25270j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25270.i1 | 25270j1 | \([1, 0, 1, -10363, 889498]\) | \(-17941516933339/39546534860\) | \(-271249682604740\) | \([]\) | \(95040\) | \(1.4582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25270j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25270j do not have complex multiplication.Modular form 25270.2.a.j
sage: E.q_eigenform(10)