Properties

Label 69360cf
Number of curves $1$
Conductor $69360$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 69360cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.v1 69360cf1 \([0, -1, 0, 36624, -13852224]\) \(4589352212399/72559411200\) \(-85891767651532800\) \([]\) \(532224\) \(1.9299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360cf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69360cf do not have complex multiplication.

Modular form 69360.2.a.cf

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} - 2 q^{11} + q^{13} + q^{15} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display