Properties

Label 304920.m
Number of curves $1$
Conductor $304920$
CM no
Rank $1$

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

Elliptic curves in class 304920.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304920.m1 304920m1 \([0, 0, 0, -948783, -358371893]\) \(-66925483042882816/581396484375\) \(-820550439843750000\) \([]\) \(3717120\) \(2.2620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304920.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 304920.m do not have complex multiplication.

Modular form 304920.2.a.m

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