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Properties

Label 468198.cc
Number of curves $1$
Conductor $468198$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 468198.cc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 468198.cc do not have complex multiplication.

Modular form 468198.2.a.cc

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

Elliptic curves in class 468198.cc

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
468198.cc1 468198cc1 \([1, -1, 1, -234356, 127816535]\) \(-761048497/3329408\) \(-6227373173281250688\) \([]\) \(9192960\) \(2.2912\) \(\Gamma_0(N)\)-optimal