Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 215950.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.q1 215950a1 \([1, 0, 0, 4187, -400383]\) \(519524563319/4740534400\) \(-74070850000000\) \([]\) \(903168\) \(1.3426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.q1 has rank \(2\).

Complex multiplication

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

Modular form 215950.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} - 2 q^{3} + q^{4} - 2 q^{6} + q^{7} + q^{8} + q^{9} + 3 q^{11} - 2 q^{12} + q^{13} + q^{14} + q^{16} - 4 q^{17} + q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display