Properties

Label 235200po
Number of curves $1$
Conductor $235200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("po1")
 
E.isogeny_class()
 

Elliptic curves in class 235200po

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.po1 235200po1 \([0, 1, 0, 7603167, 32687258463]\) \(16468459/165888\) \(-489631389843456000000000\) \([]\) \(28385280\) \(3.2268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200po1 has rank \(0\).

Complex multiplication

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

Modular form 235200.2.a.po

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