Properties

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

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Show commands: SageMath
E = EllipticCurve("gf1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.gf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.gf1 310464gf1 \([0, 0, 0, -2928828, 1998183544]\) \(-31636584484096/1331669031\) \(-116953177338571521024\) \([]\) \(8847360\) \(2.6173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.gf1 has rank \(1\).

Complex multiplication

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

Modular form 310464.2.a.gf

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