Properties

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

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 405600cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.cr1 405600cr1 \([0, -1, 0, 281667, 93482037]\) \(12800/27\) \(-5212953720000000000\) \([]\) \(6462720\) \(2.2758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600cr1 has rank \(1\).

Complex multiplication

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

Modular form 405600.2.a.cr

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