Properties

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

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

Elliptic curves in class 6027.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6027.h1 6027f1 \([0, 1, 1, -54308, 4853237]\) \(-3072832000000/5043\) \(-29071891443\) \([]\) \(20832\) \(1.2709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 6027.h do not have complex multiplication.

Modular form 6027.2.a.h

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