Properties

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

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Show commands: SageMath
E = EllipticCurve("ln1")
 
E.isogeny_class()
 

Elliptic curves in class 235200ln

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.ln1 235200ln1 \([0, -1, 0, -138833, -21359463]\) \(-6288640/567\) \(-26682793200000000\) \([]\) \(1474560\) \(1.8951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200ln1 has rank \(1\).

Complex multiplication

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

Modular form 235200.2.a.ln

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