Properties

Label 418950jr
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jr1")
 
E.isogeny_class()
 

Elliptic curves in class 418950jr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.jr1 418950jr1 \([1, -1, 1, -14941310, 22233439757]\) \(-172041783999846385/1179967488\) \(-2530030858796851200\) \([]\) \(20127744\) \(2.7119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950jr1 has rank \(1\).

Complex multiplication

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

Modular form 418950.2.a.jr

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