Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 418600.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418600.h1 | 418600h1 | \([0, 1, 0, -7926833, -8592715037]\) | \(13770918300093568000/31622653517\) | \(126490614068000000\) | \([]\) | \(11750400\) | \(2.5251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418600.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418600.h do not have complex multiplication.Modular form 418600.2.a.h
sage: E.q_eigenform(10)