Properties

Label 1502.b
Number of curves $1$
Conductor $1502$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 1502.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1502.b1 1502a1 \([1, 0, 0, -2, 2]\) \(-912673/1502\) \(-1502\) \([]\) \(108\) \(-0.69954\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1502.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1502.b do not have complex multiplication.

Modular form 1502.2.a.b

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