Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 235950.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235950.ba1 235950ba1 \([1, 1, 0, -27196325, 57972442125]\) \(-3214683778008145/238496514048\) \(-165043407391948800000000\) \([]\) \(24729600\) \(3.2039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235950.ba1 has rank \(1\).

Complex multiplication

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

Modular form 235950.2.a.ba

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