Properties

Label 369600.cr
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

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

Elliptic curves in class 369600.cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.cr1 369600cr1 \([0, -1, 0, -675333, 183131037]\) \(5322287088640/821843253\) \(5259796819200000000\) \([]\) \(6451200\) \(2.3156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.cr1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600.cr do not have complex multiplication.

Modular form 369600.2.a.cr

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} + 3 q^{13} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display