Properties

Label 40310.bd
Number of curves $1$
Conductor $40310$
CM no
Rank $0$

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

Elliptic curves in class 40310.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40310.bd1 40310bc1 \([1, -1, 1, -57, 181]\) \(-20145851361/403100\) \(-403100\) \([]\) \(10752\) \(-0.13191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40310.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40310.bd do not have complex multiplication.

Modular form 40310.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} + q^{5} + 3 q^{6} + q^{7} + q^{8} + 6 q^{9} + q^{10} - 2 q^{11} + 3 q^{12} + 5 q^{13} + q^{14} + 3 q^{15} + q^{16} + 3 q^{17} + 6 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display