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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 40896by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40896.br1 | 40896by1 | \([0, 0, 0, -1512684, 713145168]\) | \(2003092024307193/9529458688\) | \(1821107914945855488\) | \([]\) | \(870912\) | \(2.3531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40896by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40896by do not have complex multiplication.Modular form 40896.2.a.by
sage: E.q_eigenform(10)