Properties

Label 338130cc
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

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

Elliptic curves in class 338130cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.cc1 338130cc1 \([1, -1, 0, -1074, 18900]\) \(-1033364331/532480\) \(-70634004480\) \([]\) \(479232\) \(0.78629\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130cc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130cc do not have complex multiplication.

Modular form 338130.2.a.cc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 4 q^{7} - q^{8} - q^{10} - 3 q^{11} + q^{13} - 4 q^{14} + q^{16} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display