Properties

Label 336350cw
Number of curves $1$
Conductor $336350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 336350cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
336350.cw1 336350cw1 \([1, -1, 1, -172680, -29817653]\) \(-1026590625/100352\) \(-55664230872320000\) \([]\) \(7983360\) \(1.9541\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 336350cw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 336350cw do not have complex multiplication.

Modular form 336350.2.a.cw

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} + 3 q^{6} - q^{7} + q^{8} + 6 q^{9} + 5 q^{11} + 3 q^{12} + 6 q^{13} - q^{14} + q^{16} + q^{17} + 6 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display