Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("on1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 369600.on

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.on1 369600on1 \([0, 1, 0, -447083, -107214537]\) \(15812813017600/1227691773\) \(767307358125000000\) \([]\) \(5376000\) \(2.1761\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.on1 has rank \(0\).

Complex multiplication

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

Modular form 369600.2.a.on

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