Properties

Label 30960.ba
Number of curves $1$
Conductor $30960$
CM no
Rank $0$

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

Elliptic curves in class 30960.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.ba1 30960bs1 \([0, 0, 0, -203763, 35829938]\) \(-313337384670961/4403200000\) \(-13147884748800000\) \([]\) \(345600\) \(1.8987\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30960.ba do not have complex multiplication.

Modular form 30960.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{7} - 2 q^{11} - 5 q^{13} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display