Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 100016d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100016.p1 100016d1 \([0, 0, 0, -103, -586]\) \(-472058064/306299\) \(-78412544\) \([]\) \(39936\) \(0.21593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100016d1 has rank \(0\).

Complex multiplication

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

Modular form 100016.2.a.d

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