Properties

Label 4056.h
Number of curves $1$
Conductor $4056$
CM no
Rank $0$

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

Elliptic curves in class 4056.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4056.h1 4056l1 \([0, -1, 0, -17, -27]\) \(-13312/3\) \(-129792\) \([]\) \(480\) \(-0.29876\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4056.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4056.h do not have complex multiplication.

Modular form 4056.2.a.h

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