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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 333270.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.by1 | 333270by1 | \([1, -1, 0, 349041, -134909407]\) | \(3050973/6860\) | \(-10573970545741431780\) | \([]\) | \(9220608\) | \(2.3345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.by do not have complex multiplication.Modular form 333270.2.a.by
sage: E.q_eigenform(10)