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Properties

Label 443760bt
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bt1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 443760bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443760bt do not have complex multiplication.

Modular form 443760.2.a.bt

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

Elliptic curves in class 443760bt

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.bt1 443760bt1 \([0, 1, 0, -14496776, 19157420724]\) \(7037694889/759375\) \(36354978143450150400000\) \([]\) \(46233600\) \(3.0630\) \(\Gamma_0(N)\)-optimal