Show commands:
SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 59584ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59584.ba1 | 59584ck1 | \([0, -1, 0, -1633, -35839]\) | \(-31250/19\) | \(-292989304832\) | \([]\) | \(42240\) | \(0.90235\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59584ck1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59584ck do not have complex multiplication.Modular form 59584.2.a.ck
sage: E.q_eigenform(10)