Properties

Label 32200t
Number of curves $1$
Conductor $32200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 32200t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32200.r1 32200t1 \([0, 1, 0, -23408, 1373813]\) \(-5674076449024/14904575\) \(-3726143750000\) \([]\) \(64512\) \(1.2875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32200t1 has rank \(1\).

Complex multiplication

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

Modular form 32200.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} - 2 q^{9} - 2 q^{11} + 5 q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display