Properties

Label 173400.cb
Number of curves $1$
Conductor $173400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 173400.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
173400.cb1 173400et1 \([0, -1, 0, 142092, 19354437]\) \(52577024/57375\) \(-346223255343750000\) \([]\) \(1990656\) \(2.0521\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 173400.cb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 173400.cb do not have complex multiplication.

Modular form 173400.2.a.cb

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} + q^{11} + 6 q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display