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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 68544co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68544.n1 | 68544co1 | \([0, 0, 0, 4596, 2896]\) | \(449455096/260253\) | \(-6216890351616\) | \([]\) | \(100352\) | \(1.1443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68544co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68544co do not have complex multiplication.Modular form 68544.2.a.co
sage: E.q_eigenform(10)