Properties

Label 912.g
Number of curves $1$
Conductor $912$
CM no
Rank $0$

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

Elliptic curves in class 912.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
912.g1 912l1 \([0, 1, 0, -37, -109]\) \(-1404928/171\) \(-700416\) \([]\) \(160\) \(-0.14340\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 912.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 912.g do not have complex multiplication.

Modular form 912.2.a.g

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