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SageMath
E = EllipticCurve("ju1")
E.isogeny_class()
Elliptic curves in class 58800.ju
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.ju1 | 58800iy1 | \([0, 1, 0, -12133, -521137]\) | \(-1007878144/6075\) | \(-1190700000000\) | \([]\) | \(138240\) | \(1.1567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ju1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ju do not have complex multiplication.Modular form 58800.2.a.ju
sage: E.q_eigenform(10)