Properties

Label 100016.c
Number of curves $1$
Conductor $100016$
CM no
Rank $0$

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

Elliptic curves in class 100016.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.c1 100016o1 \([0, -1, 0, -1745392, -887388736]\) \(-143563142482697477233/80708360371856\) \(-330581444083122176\) \([]\) \(1462272\) \(2.3087\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 100016.c do not have complex multiplication.

Modular form 100016.2.a.c

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