Properties

Label 28900.i
Number of curves 1
Conductor 28900
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("28900.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28900.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28900.i1 28900h1 [0, 1, 0, -28, 148] [] 6048 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28900.i1 has rank \(1\).

Modular form 28900.2.a.i

sage: E.q_eigenform(10)
 
\( q + q^{3} - 3q^{7} - 2q^{9} - 6q^{11} + 6q^{13} + 2q^{19} + O(q^{20}) \)