Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 177870.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.h1 | 177870ij1 | \([1, 1, 0, -87787438, 349990856692]\) | \(-861923363555648023441/110929177533556800\) | \(-9629372429345745490075200\) | \([]\) | \(49420800\) | \(3.5274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177870.h do not have complex multiplication.Modular form 177870.2.a.h
sage: E.q_eigenform(10)