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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 156702.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.z1 | 156702cb1 | \([1, 0, 1, -10169, 402140]\) | \(-48428932963369/1193647104\) | \(-2865946696704\) | \([]\) | \(336000\) | \(1.1753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702.z do not have complex multiplication.Modular form 156702.2.a.z
sage: E.q_eigenform(10)