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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 259920i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.i1 | 259920i1 | \([0, 0, 0, 31407, -4843537]\) | \(2253933824/7971615\) | \(-12117366131272560\) | \([]\) | \(1347840\) | \(1.7691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259920i do not have complex multiplication.Modular form 259920.2.a.i
sage: E.q_eigenform(10)