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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 338130.eg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338130.eg1 | 338130eg1 | \([1, -1, 1, 718912713028, -1523620398581681281]\) | \(27959890153001923297218599/698551331180400082944000\) | \(-1026632637428647401651981707875713024000\) | \([]\) | \(19082649600\) | \(6.1658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.eg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.eg do not have complex multiplication.Modular form 338130.2.a.eg
sage: E.q_eigenform(10)