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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 168300.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
168300.by1 | 168300q1 | \([0, 0, 0, 1050000, 1322822500]\) | \(1756160000000/11385833283\) | \(-830027246330700000000\) | \([]\) | \(7603200\) | \(2.6958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 168300.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 168300.by do not have complex multiplication.Modular form 168300.2.a.by
sage: E.q_eigenform(10)