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Properties

Label 478192.bn
Number of curves $1$
Conductor $478192$
CM no
Rank $1$

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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 478192.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 478192.bn do not have complex multiplication.

Modular form 478192.2.a.bn

Copy content sage:E.q_eigenform(10)
 
\(q + 2 q^{5} + 2 q^{7} - 3 q^{9} + q^{13} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 478192.bn

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
478192.bn1 478192bn1 \([0, 0, 0, 121, 3993]\) \(6912/247\) \(-7001209072\) \([]\) \(172800\) \(0.56903\) \(\Gamma_0(N)\)-optimal