Properties

Label 304.e
Number of curves $1$
Conductor $304$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 304.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304.e1 304d1 \([0, -1, 0, -1, -3]\) \(-1024/19\) \(-4864\) \([]\) \(16\) \(-0.61148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304.e1 has rank \(0\).

Complex multiplication

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

Modular form 304.2.a.e

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