Properties

Label 302330.bm
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

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

Elliptic curves in class 302330.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.bm1 302330bm1 \([1, 1, 1, -6126, -220501]\) \(-216108018001/49360000\) \(-5807154640000\) \([]\) \(645120\) \(1.1690\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330.bm1 has rank \(1\).

Complex multiplication

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

Modular form 302330.2.a.bm

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