Properties

Label 30926.h
Number of curves $1$
Conductor $30926$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 30926.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30926.h1 30926i1 \([1, 1, 1, 1, 45]\) \(47/392\) \(-865928\) \([]\) \(4032\) \(-0.18179\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30926.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30926.h do not have complex multiplication.

Modular form 30926.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 2 q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} - 2 q^{10} - 4 q^{11} - q^{12} - 2 q^{13} - q^{14} + 2 q^{15} + q^{16} + 3 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display