Properties

Label 305283.d
Number of curves $1$
Conductor $305283$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 305283.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
305283.d1 305283d1 \([0, 1, 1, 3084, 13448]\) \(45056/27\) \(-1943287789707\) \([]\) \(870912\) \(1.0472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 305283.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 305283.d do not have complex multiplication.

Modular form 305283.2.a.d

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