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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 426888r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.r1 | 426888r1 | \([0, 0, 0, -712849599, -7326202817241]\) | \(-610325920583424/55240493\) | \(-3625877872368128139695856\) | \([]\) | \(132710400\) | \(3.7520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888r do not have complex multiplication.Modular form 426888.2.a.r
sage: E.q_eigenform(10)