Properties

Label 28611p
Number of curves $1$
Conductor $28611$
CM no
Rank $1$

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

Elliptic curves in class 28611p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28611.k1 28611p1 \([0, 0, 1, -700536, -227893190]\) \(-2160697802752/24640803\) \(-433586661235744203\) \([]\) \(368640\) \(2.1981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28611p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28611p do not have complex multiplication.

Modular form 28611.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - 2 q^{5} - q^{7} + q^{11} - 6 q^{13} + 4 q^{16} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display