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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 37200by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37200.bq1 | 37200by1 | \([0, -1, 0, 38992, -1639488]\) | \(102437538839/77137920\) | \(-4936826880000000\) | \([]\) | \(253440\) | \(1.6995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37200by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37200by do not have complex multiplication.Modular form 37200.2.a.by
sage: E.q_eigenform(10)