Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 103056.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.p1 103056p1 \([0, -1, 0, -104, 68976]\) \(-30664297/501264384\) \(-2053178916864\) \([]\) \(152064\) \(1.0414\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.p1 has rank \(1\).

Complex multiplication

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

Modular form 103056.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{7} + q^{9} - 4 q^{11} - q^{13} - 3 q^{15} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display