Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 215950c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.t1 215950c1 \([1, 1, 1, -694763, 227512281]\) \(-94945363574635345/2444985761792\) \(-955072563200000000\) \([]\) \(4602240\) \(2.2335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950c1 has rank \(2\).

Complex multiplication

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

Modular form 215950.2.a.c

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