Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 32200.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32200.y1 32200v1 \([0, 0, 0, 610625, -4651962625]\) \(100718081964000000/37453512751940327\) \(-9363378187985081750000\) \([]\) \(3525120\) \(2.8950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32200.y1 has rank \(1\).

Complex multiplication

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

Modular form 32200.2.a.y

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