Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.t1 28322x1 \([1, 1, 1, -9458, 294783]\) \(2751936625/458752\) \(15597825359872\) \([]\) \(55296\) \(1.2527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.t1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.t

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