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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 124128.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 124128.q1 | 124128o1 | \([0, 0, 0, 996, 24032]\) | \(36594368/104733\) | \(-312731062272\) | \([]\) | \(143360\) | \(0.88919\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124128.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124128.q do not have complex multiplication.Modular form 124128.2.a.q
sage: E.q_eigenform(10)