Properties

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

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 380926.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.bd1 380926bd1 \([1, -1, 0, -22654228, 41319934592]\) \(1617907473/8464\) \(6726567395411554062736\) \([]\) \(81768960\) \(3.0336\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926.bd1 has rank \(1\).

Complex multiplication

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

Modular form 380926.2.a.bd

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