Properties

Label 310464.ga
Number of curves $1$
Conductor $310464$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ga1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.ga

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.ga1 310464ga1 \([0, 0, 0, -588, 24696]\) \(-6912/77\) \(-250462485504\) \([]\) \(196608\) \(0.86922\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.ga1 has rank \(2\).

Complex multiplication

The elliptic curves in class 310464.ga do not have complex multiplication.

Modular form 310464.2.a.ga

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