Properties

Label 213444e
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 213444e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.a1 213444e1 \([0, 0, 0, -48818847, 131289345110]\) \(-8985792737264/2187\) \(-3131689183156816128\) \([]\) \(21676032\) \(2.9262\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444e1 has rank \(1\).

Complex multiplication

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

Modular form 213444.2.a.e

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