Properties

Label 334620.bm
Number of curves $1$
Conductor $334620$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 334620.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.bm1 334620bm1 \([0, 0, 0, -355143591192, -81462264865579676]\) \(-32540284515090191935873024/207606891528771075\) \(-31605020615158251083249589676800\) \([]\) \(1667727360\) \(5.2290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 334620.bm do not have complex multiplication.

Modular form 334620.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} + q^{11} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display