Properties

Label 235950.o
Number of curves $1$
Conductor $235950$
CM no
Rank $1$

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

Elliptic curves in class 235950.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.o1 235950o1 \([1, 1, 0, -24196075, 45739232125]\) \(33144624347127823585/51245420249088\) \(2422146816460800000000\) \([]\) \(18800640\) \(3.0024\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235950.o do not have complex multiplication.

Modular form 235950.2.a.o

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