Properties

Label 213444.bd
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

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

Elliptic curves in class 213444.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.bd1 213444bb1 \([0, 0, 0, -1138368, -516795356]\) \(-4194304/539\) \(-20965277243072219904\) \([]\) \(4147200\) \(2.4410\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 213444.bd do not have complex multiplication.

Modular form 213444.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{13} + 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display