Show commands:
SageMath
E = EllipticCurve("nu1")
E.isogeny_class()
Elliptic curves in class 418950.nu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.nu1 | 418950nu1 | \([1, -1, 1, 76945, 38619767]\) | \(23497109375/314399232\) | \(-674120064350476800\) | \([]\) | \(6635520\) | \(2.1018\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.nu1 has rank \(2\).
Complex multiplication
The elliptic curves in class 418950.nu do not have complex multiplication.Modular form 418950.2.a.nu
sage: E.q_eigenform(10)