Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("xc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 369600.xc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.xc1 369600xc1 \([0, 1, 0, -166033, 26915063]\) \(-31636584484096/1331669031\) \(-21306704496000000\) \([]\) \(3225600\) \(1.8997\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.xc1 has rank \(0\).

Complex multiplication

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

Modular form 369600.2.a.xc

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