Properties

Label 126960c
Number of curves $1$
Conductor $126960$
CM no
Rank $0$

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

Elliptic curves in class 126960c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126960.u1 126960c1 \([0, -1, 0, -1833161, 955843125]\) \(33983110144/3645\) \(73073546585406720\) \([]\) \(2119680\) \(2.2665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126960c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 126960c do not have complex multiplication.

Modular form 126960.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} + 3 q^{11} + 4 q^{13} + q^{15} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display