Properties

Label 79350.ce
Number of curves $1$
Conductor $79350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 79350.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.ce1 79350cy1 \([1, 1, 1, -9727263, -14162703969]\) \(-144672215/39366\) \(-27696943621543928906250\) \([]\) \(8346240\) \(3.0224\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.ce1 has rank \(0\).

Complex multiplication

The elliptic curves in class 79350.ce do not have complex multiplication.

Modular form 79350.2.a.ce

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - 3 q^{7} + q^{8} + q^{9} + 4 q^{11} - q^{12} + 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display