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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 9702.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.i1 | 9702n1 | \([1, -1, 0, -2508, -37864]\) | \(415233/88\) | \(369823513752\) | \([]\) | \(14112\) | \(0.93422\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9702.i do not have complex multiplication.Modular form 9702.2.a.i
sage: E.q_eigenform(10)