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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 156702.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.x1 | 156702ca1 | \([1, 0, 1, 1591, 13178]\) | \(185666874071/138067254\) | \(-331499476854\) | \([]\) | \(231360\) | \(0.89880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 156702.x do not have complex multiplication.Modular form 156702.2.a.x
sage: E.q_eigenform(10)