Properties

Label 418950e
Number of curves $1$
Conductor $418950$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 418950e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.e1 418950e1 \([1, -1, 0, -744417, 714511741]\) \(-694769929/2954880\) \(-194031268521930000000\) \([]\) \(22579200\) \(2.5780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 418950e do not have complex multiplication.

Modular form 418950.2.a.e

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