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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 374790.cg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374790.cg1 | 374790cg1 | \([1, 1, 1, 248784889879, 196794736660216919]\) | \(64408096831773844454225201/670056494802035898286080\) | \(-17716040548869441057452312875282759680\) | \([]\) | \(14999040000\) | \(5.8284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.cg do not have complex multiplication.Modular form 374790.2.a.cg
sage: E.q_eigenform(10)