Properties

Label 304200ba
Number of curves $1$
Conductor $304200$
CM no
Rank $0$

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

Elliptic curves in class 304200ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.ba1 304200ba1 \([0, 0, 0, -65910, 7568665]\) \(-133120/27\) \(-6422411112577200\) \([]\) \(1437696\) \(1.7557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 304200ba do not have complex multiplication.

Modular form 304200.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 2 q^{11} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display