Properties

Label 32487.h
Number of curves $1$
Conductor $32487$
CM no
Rank $0$

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

Elliptic curves in class 32487.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.h1 32487q1 \([0, 1, 1, -44361, -3735826]\) \(-239251750912/9771957\) \(-394333712398899\) \([]\) \(146944\) \(1.5683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32487.h do not have complex multiplication.

Modular form 32487.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{5} + q^{9} + 6 q^{11} - 2 q^{12} + q^{13} - q^{15} + 4 q^{16} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display