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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 247962x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 247962.x1 | 247962x1 | \([1, 1, 1, -1179, -20703]\) | \(-627177264913/247690872\) | \(-71582662008\) | \([]\) | \(311040\) | \(0.79184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247962x do not have complex multiplication.Modular form 247962.2.a.x
sage: E.q_eigenform(10)