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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 156702cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.o1 | 156702cy1 | \([1, 1, 0, -1642, -25052]\) | \(4165509529/230256\) | \(27089388144\) | \([]\) | \(138240\) | \(0.75725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702cy do not have complex multiplication.Modular form 156702.2.a.cy
sage: E.q_eigenform(10)