Properties

Label 388311k
Number of curves $1$
Conductor $388311$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 388311k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388311.k1 388311k1 \([1, 0, 1, 64683, -3999287]\) \(6300872423/5104869\) \(-24248659886649429\) \([]\) \(2903040\) \(1.8318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388311k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388311k do not have complex multiplication.

Modular form 388311.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + 3 q^{5} + q^{6} - q^{7} - 3 q^{8} + q^{9} + 3 q^{10} - q^{11} - q^{12} - q^{13} - q^{14} + 3 q^{15} - q^{16} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display