Properties

Label 397800.c
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

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

Elliptic curves in class 397800.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.c1 397800c1 \([0, 0, 0, 23625, -42373125]\) \(11854080/6311981\) \(-776492012643750000\) \([]\) \(5990400\) \(2.1119\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800.c do not have complex multiplication.

Modular form 397800.2.a.c

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