Properties

Label 235200iu
Number of curves $1$
Conductor $235200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("iu1")
 
E.isogeny_class()
 

Elliptic curves in class 235200iu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.iu1 235200iu1 \([0, -1, 0, -57633, 5407137]\) \(-105484561/1440\) \(-289013760000000\) \([]\) \(1105920\) \(1.5817\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200iu1 has rank \(2\).

Complex multiplication

The elliptic curves in class 235200iu do not have complex multiplication.

Modular form 235200.2.a.iu

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + q^{11} - 7 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display