Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 4140.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4140.h1 | 4140i1 | \([0, 0, 0, -72, 324]\) | \(-221184/115\) | \(-21461760\) | \([]\) | \(1152\) | \(0.11124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4140.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4140.h do not have complex multiplication.Modular form 4140.2.a.h
sage: E.q_eigenform(10)