Properties

Label 440818.b
Number of curves $1$
Conductor $440818$
CM no
Rank $0$

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

Elliptic curves in class 440818.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
440818.b1 440818b1 \([1, 0, 1, -1129454, -462163392]\) \(-62103840598801/9340576\) \(-23965362518471584\) \([]\) \(6894720\) \(2.1560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 440818.b1 has rank \(0\).

Complex multiplication

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

Modular form 440818.2.a.b

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