Properties

Label 311696.v
Number of curves $1$
Conductor $311696$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 311696.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
311696.v1 311696v1 \([0, -1, 0, 686, -60025]\) \(1257728/55223\) \(-1565294609648\) \([]\) \(268800\) \(1.0197\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 311696.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 311696.v do not have complex multiplication.

Modular form 311696.2.a.v

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