Properties

Label 3025.c
Number of curves $1$
Conductor $3025$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3025.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3025.c1 3025f1 \([1, -1, 1, -35355, -5538728]\) \(-1459161/3125\) \(-10466742236328125\) \([]\) \(31680\) \(1.7628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3025.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3025.c do not have complex multiplication.

Modular form 3025.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3q^{3} - q^{4} - 3q^{6} - 3q^{7} + 3q^{8} + 6q^{9} - 3q^{12} + 4q^{13} + 3q^{14} - q^{16} - 6q^{18} - 4q^{19} + O(q^{20})\)  Toggle raw display