Properties

Label 1444.b
Number of curves $1$
Conductor $1444$
CM no
Rank $0$

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

Elliptic curves in class 1444.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1444.b1 1444a1 \([0, -1, 0, -2286, 34549]\) \(4864\) \(271737008656\) \([]\) \(1026\) \(0.90937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1444.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1444.b do not have complex multiplication.

Modular form 1444.2.a.b

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