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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 129437e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 129437.d1 | 129437e1 | \([0, 0, 1, 3362, 17230]\) | \(884736/539\) | \(-2560306185899\) | \([]\) | \(281600\) | \(1.0701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129437e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129437e do not have complex multiplication.Modular form 129437.2.a.e
sage: E.q_eigenform(10)