Properties

Label 75150v
Number of curves $1$
Conductor $75150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 75150v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.c1 75150v1 \([1, -1, 0, 4743, -71699]\) \(129477420379/98500608\) \(-8975867904000\) \([]\) \(188416\) \(1.1736\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75150v do not have complex multiplication.

Modular form 75150.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 4 q^{7} - q^{8} + 3 q^{11} - q^{13} + 4 q^{14} + q^{16} + 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display