Properties

Label 32340.p
Number of curves $1$
Conductor $32340$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 32340.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.p1 32340o1 \([0, -1, 0, -24810, 478926225]\) \(-373698304/21923067375\) \(-99083582649550422000\) \([]\) \(846720\) \(2.5158\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.p1 has rank \(0\).

Complex multiplication

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

Modular form 32340.2.a.p

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