Properties

Label 178112.u
Number of curves $1$
Conductor $178112$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 178112.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
178112.u1 178112l1 \([0, -1, 0, -2097, 38953]\) \(-562432/23\) \(-41723804672\) \([]\) \(179200\) \(0.80540\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 178112.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 178112.u do not have complex multiplication.

Modular form 178112.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - 4 q^{7} - 2 q^{9} + 7 q^{13} - 2 q^{15} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display