Properties

Label 74529bd
Number of curves $1$
Conductor $74529$
CM no
Rank $1$

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

Elliptic curves in class 74529bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74529.m1 74529bd1 \([1, -1, 1, -8651, -166526]\) \(2457\) \(29138717084841\) \([]\) \(144144\) \(1.2813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74529bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74529bd do not have complex multiplication.

Modular form 74529.2.a.bd

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