Properties

Label 20328.i
Number of curves $1$
Conductor $20328$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 20328.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.i1 20328c1 \([0, -1, 0, 1896, 75132]\) \(50250332/194481\) \(-2915733832704\) \([]\) \(30720\) \(1.0745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20328.i do not have complex multiplication.

Modular form 20328.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{7} + q^{9} - q^{13} - 3 q^{15} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display