Properties

Label 30912l
Number of curves $1$
Conductor $30912$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 30912l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.b1 30912l1 \([0, -1, 0, -805, -8579]\) \(-3525581824/23667\) \(-387760128\) \([]\) \(26112\) \(0.48312\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30912l do not have complex multiplication.

Modular form 30912.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{7} + q^{9} - 3 q^{11} + 2 q^{13} + 4 q^{15} + 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display