Properties

Label 28322.u
Number of curves $1$
Conductor $28322$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.u1 28322bh1 \([1, 1, 1, -807472, -274910091]\) \(206839/4\) \(1125987897205758748\) \([]\) \(411264\) \(2.2565\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28322.u do not have complex multiplication.

Modular form 28322.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 2 q^{5} - q^{6} + q^{8} - 2 q^{9} + 2 q^{10} - 2 q^{11} - q^{12} - 4 q^{13} - 2 q^{15} + q^{16} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display