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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 25392j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25392.bd1 | 25392j1 | \([0, 1, 0, -4850577, -4114201653]\) | \(-1190106112/243\) | \(-2577060409578676992\) | \([]\) | \(971520\) | \(2.5302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25392j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25392j do not have complex multiplication.Modular form 25392.2.a.j
sage: E.q_eigenform(10)