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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 430950.cr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 430950.cr1 | 430950cr1 | \([1, 0, 1, 16149974, -10942947052]\) | \(6176736766011239/4260587175000\) | \(-321328758149602734375000\) | \([]\) | \(58060800\) | \(3.1992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.cr do not have complex multiplication.Modular form 430950.2.a.cr
sage: E.q_eigenform(10)