Properties

Label 213484.c
Number of curves $1$
Conductor $213484$
CM no
Rank $0$

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

Elliptic curves in class 213484.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213484.c1 213484c1 \([0, -1, 0, -6554, -929675]\) \(-87808/1007\) \(-357112186510448\) \([]\) \(909792\) \(1.4744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213484.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 213484.c do not have complex multiplication.

Modular form 213484.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 4 q^{7} - 2 q^{9} - 3 q^{11} + 4 q^{13} + 2 q^{15} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display