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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 116242.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.i1 | 116242a1 | \([1, 0, 1, 125, -1298]\) | \(31855013/126224\) | \(-865770416\) | \([]\) | \(76800\) | \(0.39763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116242.i do not have complex multiplication.Modular form 116242.2.a.i
sage: E.q_eigenform(10)