Properties

Label 235200np
Number of curves $1$
Conductor $235200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("np1")
 
E.isogeny_class()
 

Elliptic curves in class 235200np

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.np1 235200np1 \([0, -1, 0, -1633, -1788863]\) \(-392/1125\) \(-1382976000000000\) \([]\) \(1216512\) \(1.5842\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200np1 has rank \(1\).

Complex multiplication

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

Modular form 235200.2.a.np

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} + q^{13} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display