Properties

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

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Show commands: SageMath
E = EllipticCurve("xs1")
 
E.isogeny_class()
 

Elliptic curves in class 235200.xs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.xs1 235200xs1 \([0, 1, 0, -2824033, -1848999937]\) \(-105484561/1440\) \(-34002179850240000000\) \([]\) \(7741440\) \(2.5546\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.xs1 has rank \(0\).

Complex multiplication

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

Modular form 235200.2.a.xs

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + q^{11} + 7 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display