Properties

Label 8281.c
Number of curves $1$
Conductor $8281$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 8281.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8281.c1 8281c1 \([1, -1, 1, -279, -906]\) \(2457\) \(974251369\) \([]\) \(5544\) \(0.42247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8281.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8281.c do not have complex multiplication.

Modular form 8281.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} - q^{4} - 3 q^{5} + 3 q^{6} + 3 q^{8} + 6 q^{9} + 3 q^{10} + 3 q^{11} + 3 q^{12} + 9 q^{15} - q^{16} - 2 q^{17} - 6 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display