Properties

Label 30576.e
Number of curves $1$
Conductor $30576$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 30576.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30576.e1 30576cg1 \([0, -1, 0, -78779472, -270646784064]\) \(-112205650221491190337/745029571313664\) \(-359022526609331224313856\) \([]\) \(5483520\) \(3.3554\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30576.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30576.e do not have complex multiplication.

Modular form 30576.2.a.e

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