Properties

Label 177870.cc
Number of curves $1$
Conductor $177870$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 177870.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177870.cc1 177870id1 \([1, 1, 0, -361792, -96505856]\) \(-1231272543361/230400000\) \(-980010538214400000\) \([]\) \(3712800\) \(2.1765\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177870.cc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177870.cc do not have complex multiplication.

Modular form 177870.2.a.cc

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{8} + q^{9} - q^{10} - q^{12} + 5 q^{13} - q^{15} + q^{16} + 4 q^{17} - q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display