Properties

Label 301665.bj
Number of curves $1$
Conductor $301665$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 301665.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301665.bj1 301665bj1 \([0, 1, 1, 1465, -125719]\) \(12166529024/247963275\) \(-7082079097275\) \([]\) \(522240\) \(1.1461\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301665.bj1 has rank \(2\).

Complex multiplication

The elliptic curves in class 301665.bj do not have complex multiplication.

Modular form 301665.2.a.bj

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