Properties

Label 334620.g
Number of curves $1$
Conductor $334620$
CM no
Rank $0$

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

Elliptic curves in class 334620.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.g1 334620g1 \([0, 0, 0, -5030688, -4412809388]\) \(-446428245279637504/8372963671875\) \(-264078719318700000000\) \([]\) \(12976128\) \(2.7135\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 334620.g do not have complex multiplication.

Modular form 334620.2.a.g

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