Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 103056.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.d1 103056c1 \([0, -1, 0, 4153, -608934]\) \(494976915433472/10252595536011\) \(-164041528576176\) \([]\) \(393984\) \(1.4079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.d1 has rank \(0\).

Complex multiplication

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

Modular form 103056.2.a.d

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