Properties

Label 4425.c
Number of curves $1$
Conductor $4425$
CM no
Rank $1$

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

Elliptic curves in class 4425.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4425.c1 4425g1 \([1, 1, 1, 12, 6]\) \(304175/177\) \(-110625\) \([]\) \(480\) \(-0.34274\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4425.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4425.c do not have complex multiplication.

Modular form 4425.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} - 4 q^{7} + 3 q^{8} + q^{9} - 6 q^{11} + q^{12} + 4 q^{14} - q^{16} + 4 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display