Properties

Label 235200.z
Number of curves $1$
Conductor $235200$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("235200.z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 235200.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
235200.z1 235200z1 [0, -1, 0, 304127, 261376417] [] 5677056 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.z1 has rank \(1\).

Modular form 235200.2.a.z

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