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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 487872.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.by1 | 487872by1 | \([0, 0, 0, 1716, -26136]\) | \(15185664/16807\) | \(-618488994816\) | \([]\) | \(860160\) | \(0.94906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872.by do not have complex multiplication.Modular form 487872.2.a.by
sage: E.q_eigenform(10)