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Properties

Label 422142.bs
Number of curves $1$
Conductor $422142$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bs1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 422142.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 422142.bs do not have complex multiplication.

Modular form 422142.2.a.bs

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

Elliptic curves in class 422142.bs

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422142.bs1 422142bs1 \([1, 0, 1, -28318037769143, -58001986279690357606]\) \(-60622636760828930041195168773529/23543783424\) \(-975336808026059448754176\) \([]\) \(9763952640\) \(5.8435\) \(\Gamma_0(N)\)-optimal