Properties

Label 2475e
Number of curves $1$
Conductor $2475$
CM no
Rank $0$

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

Elliptic curves in class 2475e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2475.h1 2475e1 \([1, -1, 0, -42, -559]\) \(-675/11\) \(-135320625\) \([]\) \(576\) \(0.24153\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2475e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2475e do not have complex multiplication.

Modular form 2475.2.a.e

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