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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 36225.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36225.by1 | 36225a1 | \([0, 0, 1, -9525, 382781]\) | \(-226534772736/18941489\) | \(-7990940671875\) | \([]\) | \(100352\) | \(1.2211\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36225.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36225.by do not have complex multiplication.Modular form 36225.2.a.by
sage: E.q_eigenform(10)