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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 392784x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.x1 | 392784x1 | \([0, -1, 0, -110560, 20363008]\) | \(-6329617441/3895776\) | \(-91989497366839296\) | \([]\) | \(3386880\) | \(1.9569\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 392784x do not have complex multiplication.Modular form 392784.2.a.x
sage: E.q_eigenform(10)