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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 470925j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
470925.j1 | 470925j1 | \([0, 0, 1, -344475, 109052156]\) | \(-396870925750272/221358574619\) | \(-2521412514019546875\) | \([]\) | \(11249280\) | \(2.2343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 470925j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 470925j do not have complex multiplication.Modular form 470925.2.a.j
sage: E.q_eigenform(10)