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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 28050.co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28050.co1 | 28050cd1 | \([1, 1, 1, 19437, -15436719]\) | \(51974460932759/6625297800000\) | \(-103520278125000000\) | \([]\) | \(380160\) | \(1.9442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050.co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28050.co do not have complex multiplication.Modular form 28050.2.a.co
sage: E.q_eigenform(10)