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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 225400.co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 225400.co1 | 225400bh1 | \([0, -1, 0, -20008, 34710012]\) | \(-196/115\) | \(-519754458160000000\) | \([]\) | \(2161152\) | \(2.0784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400.co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225400.co do not have complex multiplication.Modular form 225400.2.a.co
sage: E.q_eigenform(10)