Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.h1 28322a1 \([1, 0, 1, -64020, -7801146]\) \(-208537/68\) \(-9462083169796292\) \([]\) \(193536\) \(1.7780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.h1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.h

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