Properties

Label 440818ba
Number of curves $1$
Conductor $440818$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 440818ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440818.ba1 440818ba1 \([1, 1, 1, 62261, 6153841]\) \(7599023/9016\) \(-31668514756551736\) \([]\) \(4859136\) \(1.8524\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 440818ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 440818ba do not have complex multiplication.

Modular form 440818.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + 2 q^{3} + q^{4} - 2 q^{5} + 2 q^{6} + q^{7} + q^{8} + q^{9} - 2 q^{10} - 4 q^{11} + 2 q^{12} + 2 q^{13} + q^{14} - 4 q^{15} + q^{16} - 6 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display