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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 350658i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.i1 | 350658i1 | \([1, -1, 0, -138, 644]\) | \(89326611/2576\) | \(8415792\) | \([]\) | \(98304\) | \(0.10681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 350658i do not have complex multiplication.Modular form 350658.2.a.i
sage: E.q_eigenform(10)