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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 59584.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59584.ck1 | 59584u1 | \([0, -1, 0, -4181, 105869]\) | \(-4194304/19\) | \(-36623663104\) | \([]\) | \(63360\) | \(0.87860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59584.ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59584.ck do not have complex multiplication.Modular form 59584.2.a.ck
sage: E.q_eigenform(10)