Properties

Label 32760.h
Number of curves $1$
Conductor $32760$
CM no
Rank $1$

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

Elliptic curves in class 32760.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32760.h1 32760bd1 \([0, 0, 0, -7563, 288038]\) \(-32044133522/5462275\) \(-8155132876800\) \([]\) \(67200\) \(1.2040\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32760.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32760.h do not have complex multiplication.

Modular form 32760.2.a.h

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