Properties

Label 372810.k
Number of curves $1$
Conductor $372810$
CM no
Rank $0$

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

Elliptic curves in class 372810.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.k1 372810k1 \([1, 1, 0, 34746456267, -16465003631667027]\) \(192203697666261893287480365959/4963160303408775168000000000\) \(-119798624281590245823086592000000000\) \([]\) \(5539000320\) \(5.4111\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 372810.k do not have complex multiplication.

Modular form 372810.2.a.k

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