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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 438702i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 438702.i1 | 438702i1 | \([1, 1, 0, -88826323, -250486779209]\) | \(11111108866303075129/2545553106169326\) | \(17757161021821338850454766\) | \([]\) | \(126904320\) | \(3.5573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 438702i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 438702i do not have complex multiplication.Modular form 438702.2.a.i
sage: E.q_eigenform(10)