Properties

Label 69575bd
Number of curves $1$
Conductor $69575$
CM no
Rank $0$

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

Elliptic curves in class 69575bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69575.z1 69575bd1 \([0, 1, 1, -2218, -41101]\) \(-5451776/23\) \(-5093237875\) \([]\) \(80640\) \(0.71724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69575bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69575bd do not have complex multiplication.

Modular form 69575.2.a.bd

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