Properties

Label 338130.cu
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 338130.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.cu1 338130cu1 \([1, -1, 1, 6907, -397443]\) \(172991854871/421200000\) \(-88738837200000\) \([]\) \(806400\) \(1.3603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.cu1 has rank \(0\).

Complex multiplication

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

Modular form 338130.2.a.cu

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