Properties

Label 6027.h
Number of curves 1
Conductor 6027
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("6027.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6027.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
6027.h1 6027f1 [0, 1, 1, -54308, 4853237] [] 20832 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6027.h1 has rank \(0\).

Modular form 6027.2.a.h

sage: E.q_eigenform(10)
 
\( q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} + q^{9} + 4q^{11} + 2q^{12} - q^{13} - 4q^{16} + 4q^{17} + 2q^{18} + 7q^{19} + O(q^{20}) \)