Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 59290r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.m1 | 59290r1 | \([1, 1, 0, -236270773, 1398103640333]\) | \(-57839429434456681/16470860000\) | \(-415380397040837491340000\) | \([]\) | \(14192640\) | \(3.5126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290r do not have complex multiplication.Modular form 59290.2.a.r
sage: E.q_eigenform(10)