Properties

Label 418950.o
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 418950.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.o1 418950o1 \([1, -1, 0, -1053117, -452357109]\) \(-7025284375/747954\) \(-13751966156491788750\) \([]\) \(13934592\) \(2.4109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950.o1 has rank \(1\).

Complex multiplication

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

Modular form 418950.2.a.o

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