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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 129285.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129285.j1 | 129285g1 | \([0, 0, 1, -52728, 4662583]\) | \(-736100352/425\) | \(-9360510023475\) | \([]\) | \(379392\) | \(1.4347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129285.j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 129285.j do not have complex multiplication.Modular form 129285.2.a.j
sage: E.q_eigenform(10)