Properties

Label 103056r
Number of curves $1$
Conductor $103056$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 103056r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.l1 103056r1 \([0, -1, 0, -14725, 1298413]\) \(-86210302283776/126575253531\) \(-518452238462976\) \([]\) \(302400\) \(1.5154\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056r1 has rank \(0\).

Complex multiplication

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

Modular form 103056.2.a.r

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