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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 227136co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 227136.h1 | 227136co1 | \([0, -1, 0, -216504097, 1372148819521]\) | \(-20994006260678308/3063651608241\) | \(-163781983291522447557328896\) | \([]\) | \(95846400\) | \(3.7604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227136co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227136co do not have complex multiplication.Modular form 227136.2.a.co
sage: E.q_eigenform(10)