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Properties

Label 416025.bn
Number of curves $1$
Conductor $416025$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bn1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 416025.bn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 416025.bn do not have complex multiplication.

Modular form 416025.2.a.bn

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

Elliptic curves in class 416025.bn

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
416025.bn1 416025bn1 \([1, -1, 0, -203860917, 1010560399866]\) \(7037694889/759375\) \(101100078836727751318359375\) \([]\) \(138700800\) \(3.7239\) \(\Gamma_0(N)\)-optimal