Properties

Label 103056j
Number of curves $1$
Conductor $103056$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 103056j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.t1 103056j1 \([0, 1, 0, -532, 15884]\) \(-65168050768/397609371\) \(-101787998976\) \([]\) \(129024\) \(0.79585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056j1 has rank \(2\).

Complex multiplication

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

Modular form 103056.2.a.j

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