Properties

Label 1143c
Number of curves $1$
Conductor $1143$
CM no
Rank $2$

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

Elliptic curves in class 1143c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1143.a1 1143c1 \([0, 0, 1, -39, 90]\) \(8998912/381\) \(277749\) \([]\) \(352\) \(-0.19102\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1143c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1143c do not have complex multiplication.

Modular form 1143.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 3 q^{5} - 4 q^{7} + 6 q^{10} - 6 q^{11} - 7 q^{13} + 8 q^{14} - 4 q^{16} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display