Properties

Label 9196g
Number of curves $1$
Conductor $9196$
CM no
Rank $0$

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

Elliptic curves in class 9196g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9196.f1 9196g1 \([0, -1, 0, -2581, 51537]\) \(-4194304/19\) \(-8616872704\) \([]\) \(7140\) \(0.75802\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9196g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9196g do not have complex multiplication.

Modular form 9196.2.a.g

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