Properties

Label 46893.c
Number of curves $1$
Conductor $46893$
CM no
Rank $1$

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

Elliptic curves in class 46893.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46893.c1 46893q1 \([1, 0, 0, -1, 4052]\) \(-1/60291\) \(-7093175859\) \([]\) \(20736\) \(0.56908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46893.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46893.c do not have complex multiplication.

Modular form 46893.2.a.c

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