Properties

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

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Show commands: SageMath
E = EllipticCurve("nq1")
 
E.isogeny_class()
 

Elliptic curves in class 235200nq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.nq1 235200nq1 \([0, -1, 0, 2287, -1320423]\) \(1280/729\) \(-753095155276800\) \([]\) \(1032192\) \(1.5337\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200nq1 has rank \(0\).

Complex multiplication

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

Modular form 235200.2.a.nq

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} + 2 q^{13} + 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display