Show commands:
SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 409101by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409101.by1 | 409101by1 | \([1, 0, 1, 73180, -13255189]\) | \(1268071343/2956581\) | \(-101054475453803949\) | \([]\) | \(3477600\) | \(1.9469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409101by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 409101by do not have complex multiplication.Modular form 409101.2.a.by
sage: E.q_eigenform(10)