Show commands:
SageMath
E = EllipticCurve("iu1")
E.isogeny_class()
Elliptic curves in class 177870iu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.ba1 | 177870iu1 | \([1, 1, 0, -4358, -113868]\) | \(-105484561/1440\) | \(-125001344160\) | \([]\) | \(343200\) | \(0.93616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870iu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177870iu do not have complex multiplication.Modular form 177870.2.a.iu
sage: E.q_eigenform(10)