Properties

Label 380926.bc
Number of curves $1$
Conductor $380926$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 380926.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.bc1 380926bc1 \([1, -1, 0, -5056, 139712]\) \(-2710010709/1472\) \(-7764795584\) \([]\) \(1119744\) \(0.84646\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 380926.bc do not have complex multiplication.

Modular form 380926.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} + 2 q^{5} - 3 q^{6} - q^{8} + 6 q^{9} - 2 q^{10} - 5 q^{11} + 3 q^{12} + 6 q^{15} + q^{16} + 4 q^{17} - 6 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display