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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 37830.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.i1 | 37830f1 | \([1, 1, 0, -99418227, -381595912659]\) | \(-108673026027798157289434731961/2730875291015625000000\) | \(-2730875291015625000000\) | \([]\) | \(6151680\) | \(3.2215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37830.i do not have complex multiplication.Modular form 37830.2.a.i
sage: E.q_eigenform(10)