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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 63525.co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63525.co1 | 63525bw1 | \([0, 1, 1, -17508, -894481]\) | \(313944395776/1240029\) | \(2344429828125\) | \([]\) | \(295680\) | \(1.2308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525.co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63525.co do not have complex multiplication.Modular form 63525.2.a.co
sage: E.q_eigenform(10)