Properties

Label 32340.h
Number of curves $1$
Conductor $32340$
CM no
Rank $1$

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

Elliptic curves in class 32340.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.h1 32340j1 \([0, -1, 0, -6692730, 6666509025]\) \(-359442469227794176/9021375\) \(-832102905942000\) \([]\) \(725760\) \(2.3805\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32340.h do not have complex multiplication.

Modular form 32340.2.a.h

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