Properties

Label 103056.g
Number of curves $1$
Conductor $103056$
CM no
Rank $1$

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

Elliptic curves in class 103056.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.g1 103056o1 \([0, -1, 0, 10499, 14737]\) \(499903512190976/289857231459\) \(-74203451253504\) \([]\) \(314496\) \(1.3509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 103056.g do not have complex multiplication.

Modular form 103056.2.a.g

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