Properties

Label 29232.h
Number of curves $1$
Conductor $29232$
CM no
Rank $2$

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

Elliptic curves in class 29232.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29232.h1 29232o1 \([0, 0, 0, -187851, 36418394]\) \(-491028574078226/99607139289\) \(-148712662101362688\) \([]\) \(345600\) \(2.0175\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29232.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 29232.h do not have complex multiplication.

Modular form 29232.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + q^{7} - 3 q^{11} - 5 q^{13} - 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display