Properties

Label 32200.p
Number of curves $1$
Conductor $32200$
CM no
Rank $1$

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

Elliptic curves in class 32200.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32200.p1 32200a1 \([0, 1, 0, -4508, 228113]\) \(-40535147776/67648175\) \(-16912043750000\) \([]\) \(46080\) \(1.2291\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32200.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32200.p do not have complex multiplication.

Modular form 32200.2.a.p

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