Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 213444.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.c1 213444a1 \([0, 0, 0, -90552, -10488940]\) \(-30908416/3\) \(-7970074092288\) \([]\) \(943488\) \(1.5114\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.c1 has rank \(1\).

Complex multiplication

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

Modular form 213444.2.a.c

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