Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.bc1 28322w1 \([1, 0, 0, -58605, 5455841]\) \(654699641761/112\) \(3808062832\) \([]\) \(96768\) \(1.2370\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.bc1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.bc

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