Properties

Label 414736.b
Number of curves $1$
Conductor $414736$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 414736.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
414736.b1 414736b1 \([0, 0, 0, -25921, -4173281]\) \(-6912/23\) \(-6409188944225648\) \([]\) \(3649536\) \(1.7193\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 414736.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 414736.b do not have complex multiplication.

Modular form 414736.2.a.b

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