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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 323400.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.by1 | 323400by1 | \([0, -1, 0, -16771485208, 403206630846412]\) | \(2308702086811951250/1025271882697689\) | \(231691144286182793599648800000000\) | \([]\) | \(1097349120\) | \(4.9059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.by do not have complex multiplication.Modular form 323400.2.a.by
sage: E.q_eigenform(10)