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Properties

Label 488796.bd
Number of curves $1$
Conductor $488796$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 488796.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 488796.bd do not have complex multiplication.

Modular form 488796.2.a.bd

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

Elliptic curves in class 488796.bd

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
488796.bd1 488796bd1 \([0, 1, 0, -902650, 329792981]\) \(-34339609640704/916839\) \(-2171601222957936\) \([]\) \(4276800\) \(2.0478\) \(\Gamma_0(N)\)-optimal