Properties

Label 405600be
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

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

Elliptic curves in class 405600be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.be1 405600be1 \([0, -1, 0, -433, -15263]\) \(-832/9\) \(-97344000000\) \([]\) \(331776\) \(0.79053\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600be1 has rank \(1\).

Complex multiplication

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

Modular form 405600.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2q^{7} + q^{9} - 2q^{11} + 3q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display