Properties

Label 1470.h
Number of curves 1
Conductor 1470
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("1470.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1470.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1470.h1 1470g1 [1, 0, 1, -30063, -5363102] [] 11760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1470.h1 has rank \(0\).

Modular form 1470.2.a.h

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} + q^{9} - q^{10} - q^{11} + q^{12} - q^{13} + q^{15} + q^{16} - q^{18} + 3q^{19} + O(q^{20}) \)