Properties

Label 20510.d
Number of curves $1$
Conductor $20510$
CM no
Rank $0$

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

Elliptic curves in class 20510.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20510.d1 20510c1 \([1, 0, 0, 15, -25]\) \(371694959/512750\) \(-512750\) \([]\) \(2304\) \(-0.21869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20510.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20510.d do not have complex multiplication.

Modular form 20510.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} - 2 q^{9} + q^{10} - q^{11} + q^{12} - 5 q^{13} + q^{14} + q^{15} + q^{16} + 3 q^{17} - 2 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display