Properties

Label 30420z
Number of curves $1$
Conductor $30420$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 30420z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30420.o1 30420z1 \([0, 0, 0, -738192, -331193356]\) \(-22478848/10935\) \(-21640956484940133120\) \([]\) \(1048320\) \(2.4156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30420z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30420z do not have complex multiplication.

Modular form 30420.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{5} - 5 q^{7} - 3 q^{11} - 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display