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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 361920i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 361920.i1 | 361920i1 | \([0, -1, 0, -51653061, -142869616035]\) | \(-930233490349206448485376/17321971875\) | \(-283803187200000\) | \([]\) | \(17633280\) | \(2.7621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361920i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 361920i do not have complex multiplication.Modular form 361920.2.a.i
sage: E.q_eigenform(10)