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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 156702by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.y1 | 156702by1 | \([1, 0, 1, -2574, 54730]\) | \(-16022066761/1813266\) | \(-213328931634\) | \([]\) | \(153600\) | \(0.91076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702by do not have complex multiplication.Modular form 156702.2.a.by
sage: E.q_eigenform(10)