Properties

Label 316030bd
Number of curves $1$
Conductor $316030$
CM no
Rank $1$

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

Elliptic curves in class 316030bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
316030.bd1 316030bd1 \([1, 0, 1, 841, -11828]\) \(13651919/20570\) \(-99287461130\) \([]\) \(299520\) \(0.79548\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 316030bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 316030bd do not have complex multiplication.

Modular form 316030.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - 4 q^{7} - q^{8} - 2 q^{9} + q^{10} + q^{11} + q^{12} + 4 q^{14} - q^{15} + q^{16} + q^{17} + 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display