Properties

Label 3024.b
Number of curves $1$
Conductor $3024$
CM no
Rank $1$

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

Elliptic curves in class 3024.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.b1 3024l1 \([0, 0, 0, -27, 810]\) \(-54/7\) \(-282175488\) \([]\) \(1440\) \(0.30094\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3024.b do not have complex multiplication.

Modular form 3024.2.a.b

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