Properties

Label 405600ba
Number of curves $1$
Conductor $405600$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 405600ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.ba1 405600ba1 \([0, -1, 0, -82950833, 291406809537]\) \(-326938350400/767637\) \(-148209487213320000000000\) \([]\) \(77414400\) \(3.3264\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 405600ba do not have complex multiplication.

Modular form 405600.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3q^{7} + q^{9} + 3q^{11} + 7q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display