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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 58800.eq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.eq1 | 58800bi1 | \([0, -1, 0, 572, 164767]\) | \(1280/729\) | \(-11767111801200\) | \([]\) | \(129024\) | \(1.1871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.eq do not have complex multiplication.Modular form 58800.2.a.eq
sage: E.q_eigenform(10)