Properties

Label 1143.b
Number of curves $1$
Conductor $1143$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 1143.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1143.b1 1143b1 \([0, 0, 1, -108, 425]\) \(7077888/127\) \(2499741\) \([]\) \(144\) \(0.023246\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1143.b1 has rank \(1\).

Complex multiplication

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

Modular form 1143.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} + 4 q^{11} + q^{13} + 4 q^{16} - 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display