Show commands:
SageMath
E = EllipticCurve("es1")
E.isogeny_class()
Elliptic curves in class 59290.es
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.es1 | 59290eb1 | \([1, -1, 1, 28533, -1733399]\) | \(9261/10\) | \(-2774101878984590\) | \([]\) | \(617760\) | \(1.6499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290.es1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59290.es do not have complex multiplication.Modular form 59290.2.a.es
sage: E.q_eigenform(10)