Properties

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

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Show commands: SageMath
E = EllipticCurve("ls1")
 
E.isogeny_class()
 

Elliptic curves in class 235200.ls

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.ls1 235200ls1 \([0, -1, 0, 194367, 74455137]\) \(68782/243\) \(-2868933924864000000\) \([]\) \(3763200\) \(2.2247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.ls1 has rank \(0\).

Complex multiplication

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

Modular form 235200.2.a.ls

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 3 q^{11} + 4 q^{13} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display