Properties

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

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

Elliptic curves in class 103056d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.e1 103056d1 \([0, -1, 0, -304, 4000]\) \(-1522096994/2325201\) \(-4762011648\) \([]\) \(51840\) \(0.54854\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056d1 has rank \(2\).

Complex multiplication

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

Modular form 103056.2.a.d

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