Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.p1 28322bd1 \([1, -1, 1, -930, 11169]\) \(-369140625/1024\) \(-246514688\) \([]\) \(26880\) \(0.48312\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.p1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.p

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