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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 225400by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225400.bd1 | 225400by1 | \([0, -1, 0, -2537643033, 49204109705437]\) | \(-3840316976122235063296/27784071875\) | \(-13075073088087500000000\) | \([]\) | \(82944000\) | \(3.8402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400by1 has rank \(2\).
Complex multiplication
The elliptic curves in class 225400by do not have complex multiplication.Modular form 225400.2.a.by
sage: E.q_eigenform(10)