Properties

Label 302330bk
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 302330bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.bk1 302330bk1 \([1, 0, 0, -106296, -13620160]\) \(-2710682508977520721/64697139200000\) \(-3170159820800000\) \([]\) \(1572000\) \(1.7605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 302330bk do not have complex multiplication.

Modular form 302330.2.a.bk

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