Properties

Label 1441.b
Number of curves $1$
Conductor $1441$
CM no
Rank $0$

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

Elliptic curves in class 1441.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1441.b1 1441b1 \([0, 0, 1, 29, -29]\) \(2697228288/1917971\) \(-1917971\) \([]\) \(448\) \(-0.10599\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1441.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1441.b do not have complex multiplication.

Modular form 1441.2.a.b

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 3 q^{3} + 2 q^{4} - 2 q^{5} + 6 q^{6} + 3 q^{7} + 6 q^{9} - 4 q^{10} + q^{11} + 6 q^{12} + q^{13} + 6 q^{14} - 6 q^{15} - 4 q^{16} + 2 q^{17} + 12 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display