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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 29575j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29575.g1 | 29575j1 | \([1, 1, 1, -9188, -352344]\) | \(-32485001809/1071875\) | \(-2830419921875\) | \([]\) | \(51840\) | \(1.1641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29575j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29575j do not have complex multiplication.Modular form 29575.2.a.j
sage: E.q_eigenform(10)