Properties

Label 213444.e
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 213444.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.e1 213444b1 \([0, 0, 0, -10956792, 13960779140]\) \(-30908416/3\) \(-14119472429007821568\) \([]\) \(10378368\) \(2.7103\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 213444.2.a.e

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + 2 q^{13} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display