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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 3920i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3920.y1 | 3920i1 | \([0, 1, 0, -800, -58780]\) | \(-196/5\) | \(-1446273274880\) | \([]\) | \(4032\) | \(1.0139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3920i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3920i do not have complex multiplication.Modular form 3920.2.a.i
sage: E.q_eigenform(10)