Properties

Label 309304g
Number of curves $1$
Conductor $309304$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 309304g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309304.g1 309304g1 \([0, 1, 0, -7284, 245177]\) \(-562432/23\) \(-1748038360688\) \([]\) \(538560\) \(1.1167\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309304g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309304g do not have complex multiplication.

Modular form 309304.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} + 4 q^{7} - 2 q^{9} + 2 q^{11} - 7 q^{13} - 2 q^{15} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display