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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 47190.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.by1 | 47190cd1 | \([1, 1, 1, -305, -8674225]\) | \(-14641/151632000\) | \(-32503665843792000\) | \([]\) | \(399168\) | \(1.8472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190.by do not have complex multiplication.Modular form 47190.2.a.by
sage: E.q_eigenform(10)