Properties

Label 180336cz
Number of curves $1$
Conductor $180336$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 180336cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.bb1 180336cz1 \([0, -1, 0, -27840, 2480883]\) \(-73984/39\) \(-1257980193880176\) \([]\) \(744192\) \(1.6016\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 180336cz do not have complex multiplication.

Modular form 180336.2.a.cz

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 2 q^{7} + q^{9} + 3 q^{11} + q^{13} - q^{15} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display