Properties

Label 176400cj
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 176400cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.qr1 176400cj1 \([0, 0, 0, -17640, -926100]\) \(-221184/7\) \(-19211611104000\) \([]\) \(387072\) \(1.3251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400cj do not have complex multiplication.

Modular form 176400.2.a.cj

sage: E.q_eigenform(10)
 
\(q + 3 q^{11} + q^{13} + 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display