Properties

Label 28050.cb
Number of curves $1$
Conductor $28050$
CM no
Rank $1$

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

Elliptic curves in class 28050.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28050.cb1 28050cg1 \([1, 1, 1, -1853930838, 30726507816531]\) \(-45100802713464654722769650329/4293192974400000000000\) \(-67081140225000000000000000\) \([]\) \(16156800\) \(3.9925\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28050.cb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28050.cb do not have complex multiplication.

Modular form 28050.2.a.cb

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