Properties

Label 30912b
Number of curves $1$
Conductor $30912$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 30912b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.a1 30912b1 \([0, -1, 0, -385, -3269]\) \(-98867482624/20696067\) \(-1324548288\) \([]\) \(24000\) \(0.47210\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912b1 has rank \(1\).

Complex multiplication

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

Modular form 30912.2.a.b

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