Properties

Label 3024.m
Number of curves $1$
Conductor $3024$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3024.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.m1 3024bc1 \([0, 0, 0, -3, -254]\) \(-3/28\) \(-27869184\) \([]\) \(576\) \(0.10750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024.m1 has rank \(0\).

Complex multiplication

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

Modular form 3024.2.a.m

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