Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 28611m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28611.b1 28611m1 \([0, 0, 1, 44217, 1691300]\) \(1880064/1331\) \(-6768570469244859\) \([]\) \(176256\) \(1.7261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28611m1 has rank \(1\).

Complex multiplication

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

Modular form 28611.2.a.m

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{5} - 2 q^{7} + 2 q^{10} - q^{11} - 2 q^{13} + 4 q^{14} - 4 q^{16} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display