Properties

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

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Show commands: SageMath
E = EllipticCurve("tn1")
 
E.isogeny_class()
 

Elliptic curves in class 235200.tn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.tn1 235200tn1 \([0, 1, 0, -4083, -102537]\) \(-3136000/27\) \(-64827000000\) \([]\) \(248832\) \(0.89958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200.tn1 has rank \(1\).

Complex multiplication

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

Modular form 235200.2.a.tn

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 2 q^{11} + 5 q^{13} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display