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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 187200.co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.co1 | 187200la1 | \([0, 0, 0, -26220, 1699760]\) | \(-417267265/19773\) | \(-94466978611200\) | \([]\) | \(589824\) | \(1.4443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.co do not have complex multiplication.Modular form 187200.2.a.co
sage: E.q_eigenform(10)