Properties

Label 67830k
Number of curves $1$
Conductor $67830$
CM no
Rank $0$

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

Elliptic curves in class 67830k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67830.l1 67830k1 \([1, 1, 0, 365918, -252509324]\) \(5418426396033376591319/30713670770098176000\) \(-30713670770098176000\) \([]\) \(2088000\) \(2.4213\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67830k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67830k do not have complex multiplication.

Modular form 67830.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + 3 q^{11} - q^{12} - q^{13} - q^{14} - q^{15} + q^{16} + q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display