Properties

Label 4028.b
Number of curves $1$
Conductor $4028$
CM no
Rank $1$

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

Elliptic curves in class 4028.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4028.b1 4028a1 \([0, 1, 0, -2, -7]\) \(-87808/1007\) \(-16112\) \([]\) \(324\) \(-0.51079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4028.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4028.b do not have complex multiplication.

Modular form 4028.2.a.b

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