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Properties

Label 422142be
Number of curves $1$
Conductor $422142$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("be1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 422142be1 has rank \(0\).

Complex multiplication

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

Modular form 422142.2.a.be

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

Elliptic curves in class 422142be

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422142.be1 422142be1 \([1, 0, 1, -1095338154, 13953006816028]\) \(-981750978256503859384681/550842545627136\) \(-81544465940936140283904\) \([]\) \(147603456\) \(3.7231\) \(\Gamma_0(N)\)-optimal