Properties

Label 147920.c
Number of curves $1$
Conductor $147920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 147920.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147920.c1 147920q1 \([0, 1, 0, -616, -2538540]\) \(-2/215\) \(-2783422577735680\) \([]\) \(827904\) \(1.6424\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147920.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 147920.c do not have complex multiplication.

Modular form 147920.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{5} + 3 q^{7} + q^{9} + 2 q^{11} - q^{13} + 2 q^{15} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display