Properties

Label 16100.g
Number of curves $1$
Conductor $16100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 16100.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16100.g1 16100b1 \([0, 1, 0, 42, -787]\) \(32000/1127\) \(-281750000\) \([]\) \(3456\) \(0.30131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16100.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16100.g do not have complex multiplication.

Modular form 16100.2.a.g

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