Properties

Label 348726bd
Number of curves $1$
Conductor $348726$
CM no
Rank $1$

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

Elliptic curves in class 348726bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348726.bd1 348726bd1 \([1, 0, 1, -222023, 40384874]\) \(-25727239787761/101406816\) \(-4770772998124896\) \([]\) \(2488320\) \(1.8660\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348726bd do not have complex multiplication.

Modular form 348726.2.a.bd

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