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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 9450.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.by1 | 9450n1 | \([1, -1, 0, -26367, -1382959]\) | \(1171875/196\) | \(339070429687500\) | \([]\) | \(60480\) | \(1.5092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.by do not have complex multiplication.Modular form 9450.2.a.by
sage: E.q_eigenform(10)