Properties

Label 148120.bd
Number of curves $1$
Conductor $148120$
CM no
Rank $1$

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

Elliptic curves in class 148120.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
148120.bd1 148120r1 \([0, 1, 0, 52724, 7625104]\) \(808496/1715\) \(-34381654977770240\) \([]\) \(847872\) \(1.8573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 148120.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 148120.bd do not have complex multiplication.

Modular form 148120.2.a.bd

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