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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 79402i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79402.f1 | 79402i1 | \([1, -1, 1, -1626, 36813]\) | \(-185193/116\) | \(-297624263444\) | \([]\) | \(198720\) | \(0.90323\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79402i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79402i do not have complex multiplication.Modular form 79402.2.a.i
sage: E.q_eigenform(10)