Properties

Label 134310.h
Number of curves $1$
Conductor $134310$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 134310.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.h1 134310ct1 \([1, 1, 0, -18273, -1088523]\) \(-3148102969/532800\) \(-114210411796800\) \([]\) \(481536\) \(1.4241\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134310.h do not have complex multiplication.

Modular form 134310.2.a.h

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