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SageMath
E = EllipticCurve("ju1")
E.isogeny_class()
Elliptic curves in class 476850ju
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.ju1 | 476850ju1 | \([1, 0, 0, -11896113, -15795390033]\) | \(-1708156114633/215622\) | \(-23501980795989093750\) | \([]\) | \(24440832\) | \(2.7391\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850ju1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850ju do not have complex multiplication.Modular form 476850.2.a.ju
sage: E.q_eigenform(10)