Properties

Label 189618g
Number of curves $1$
Conductor $189618$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 189618g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.bo1 189618g1 \([1, 0, 0, -398421, 201907809]\) \(-1449073218392281/2811246362496\) \(-13569349243712955264\) \([]\) \(5870592\) \(2.3608\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 189618g do not have complex multiplication.

Modular form 189618.2.a.g

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