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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 93100.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93100.by1 | 93100bc1 | \([0, -1, 0, -26133, 1641137]\) | \(-4194304/19\) | \(-8941324000000\) | \([]\) | \(277200\) | \(1.3367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93100.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93100.by do not have complex multiplication.Modular form 93100.2.a.by
sage: E.q_eigenform(10)