Properties

Label 377520bj
Number of curves $1$
Conductor $377520$
CM no
Rank $1$

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

Elliptic curves in class 377520bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.bj1 377520bj1 \([0, -1, 0, 2667944, 836297200]\) \(385226073849504061/278469750000000\) \(-1518154699776000000000\) \([]\) \(15966720\) \(2.7527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 377520bj do not have complex multiplication.

Modular form 377520.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} + q^{13} + q^{15} + 6 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display