Properties

Label 30064c
Number of curves $1$
Conductor $30064$
CM no
Rank $3$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 30064c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30064.a1 30064c1 \([0, 1, 0, -152, 676]\) \(-381775972/1879\) \(-1924096\) \([]\) \(10752\) \(0.053912\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30064c1 has rank \(3\).

Complex multiplication

The elliptic curves in class 30064c do not have complex multiplication.

Modular form 30064.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{5} - 3 q^{7} + q^{9} - 6 q^{11} - 6 q^{13} + 6 q^{15} - 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display