Properties

Label 304f
Number of curves $1$
Conductor $304$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 304f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304.a1 304f1 \([0, 1, 0, -21, 31]\) \(-4194304/19\) \(-4864\) \([]\) \(24\) \(-0.44093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 304f do not have complex multiplication.

Modular form 304.2.a.f

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