Properties

Label 215950.v
Number of curves $1$
Conductor $215950$
CM no
Rank $2$

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

Elliptic curves in class 215950.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.v1 215950e1 \([1, -1, 1, -7705, 262297]\) \(-3237194335257/967456\) \(-15116500000\) \([]\) \(266240\) \(0.93147\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.v1 has rank \(2\).

Complex multiplication

The elliptic curves in class 215950.v do not have complex multiplication.

Modular form 215950.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} - 3 q^{9} - 5 q^{11} - 5 q^{13} + q^{14} + q^{16} - 3 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display