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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 7098.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.i1 | 7098j1 | \([1, 0, 1, -4567, 117626]\) | \(368728437337/2752512\) | \(78614495232\) | \([]\) | \(11424\) | \(0.92100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7098.i do not have complex multiplication.Modular form 7098.2.a.i
sage: E.q_eigenform(10)