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SageMath
E = EllipticCurve("dx1")
E.isogeny_class()
Elliptic curves in class 258570.dx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 258570.dx1 | 258570dx1 | \([1, -1, 1, 77292157, 504460345731]\) | \(414491631408272360789951/1132262271188620848000\) | \(-139495844072709277094448000\) | \([]\) | \(77414400\) | \(3.7003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 258570.dx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 258570.dx do not have complex multiplication.Modular form 258570.2.a.dx
sage: E.q_eigenform(10)