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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 156702.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.i1 | 156702cs1 | \([1, 1, 0, 430, -13572]\) | \(25542058625/252936216\) | \(-86757122088\) | \([]\) | \(161280\) | \(0.78000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702.i do not have complex multiplication.Modular form 156702.2.a.i
sage: E.q_eigenform(10)