Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 32340.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.i1 32340i1 \([0, -1, 0, -1045, -118943]\) \(-205520896/9882675\) \(-6074445484800\) \([]\) \(51840\) \(1.1329\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.i1 has rank \(1\).

Complex multiplication

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

Modular form 32340.2.a.i

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