Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 405600.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.f1 405600f1 \([0, -1, 0, -816833, -283878063]\) \(824348200000/243\) \(17767226880000\) \([]\) \(4354560\) \(1.9079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600.f1 has rank \(0\).

Complex multiplication

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

Modular form 405600.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4q^{7} + q^{9} - q^{11} + 8q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display