Properties

Label 32200.i
Number of curves $1$
Conductor $32200$
CM no
Rank $2$

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

Elliptic curves in class 32200.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32200.i1 32200z1 \([0, -1, 0, -3473, 197317]\) \(-144814859264/435654247\) \(-13940935904000\) \([]\) \(51968\) \(1.2089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32200.i1 has rank \(2\).

Complex multiplication

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

Modular form 32200.2.a.i

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