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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 309168i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.i1 | 309168i1 | \([0, 0, 0, -491121651, -1810613663566]\) | \(4387362075365553105987313/2064688435007280119808\) | \(6165126631916778321264771072\) | \([]\) | \(156764160\) | \(4.0266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168i do not have complex multiplication.Modular form 309168.2.a.i
sage: E.q_eigenform(10)