Properties

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

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Show commands: SageMath
E = EllipticCurve("xt1")
 
E.isogeny_class()
 

Elliptic curves in class 235200xt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.xt1 235200xt1 \([0, 1, 0, -19742753, 33781432383]\) \(-1103770289367265/891813888\) \(-687610344959587123200\) \([]\) \(21012480\) \(2.9279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200xt1 has rank \(1\).

Complex multiplication

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

Modular form 235200.2.a.xt

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + 2 q^{11} - 7 q^{13} - 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display