Properties

Label 418.c
Number of curves $1$
Conductor $418$
CM no
Rank $0$

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

Elliptic curves in class 418.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418.c1 418c1 \([1, -1, 1, -6, -5]\) \(-20346417/4598\) \(-4598\) \([]\) \(56\) \(-0.57718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 418.c do not have complex multiplication.

Modular form 418.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} - 2 q^{5} + 3 q^{6} + q^{7} + q^{8} + 6 q^{9} - 2 q^{10} + q^{11} + 3 q^{12} - 7 q^{13} + q^{14} - 6 q^{15} + q^{16} - 3 q^{17} + 6 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display