Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 235200.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
235200.n1 235200n1 [0, -1, 0, -933, -29763] [] 294912 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.n1 has rank \(1\).

Complex multiplication

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

Modular form 235200.2.a.n

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{9} - 6q^{11} + 3q^{13} + 4q^{17} + 5q^{19} + O(q^{20}) \)