Properties

Label 76050cw
Number of curves $1$
Conductor $76050$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 76050cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.n1 76050cw1 \([1, -1, 0, -12492, -546584]\) \(-895973/24\) \(-5775046875000\) \([]\) \(253440\) \(1.2307\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76050cw do not have complex multiplication.

Modular form 76050.2.a.cw

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