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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 2352.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2352.x1 | 2352f1 | \([0, 1, 0, -457, 10163]\) | \(-7168/27\) | \(-39846304512\) | \([]\) | \(2016\) | \(0.71965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2352.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2352.x do not have complex multiplication.Modular form 2352.2.a.x
sage: E.q_eigenform(10)