Properties

Label 30148.a
Number of curves $1$
Conductor $30148$
CM no
Rank $3$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 30148.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30148.a1 30148b1 \([0, 0, 0, -37, 85]\) \(350113536/7537\) \(120592\) \([]\) \(13848\) \(-0.23624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30148.a1 has rank \(3\).

Complex multiplication

The elliptic curves in class 30148.a do not have complex multiplication.

Modular form 30148.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 4 q^{5} - 4 q^{7} + 6 q^{9} - 2 q^{11} - 2 q^{13} + 12 q^{15} - 8 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display