Properties

Label 380880.c
Number of curves $1$
Conductor $380880$
CM no
Rank $0$

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

Elliptic curves in class 380880.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380880.c1 380880c1 \([0, 0, 0, 9659517, -17941832318]\) \(63102533673332111/124556484375000\) \(-196747621133760000000000\) \([]\) \(57507840\) \(3.1542\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380880.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 380880.c do not have complex multiplication.

Modular form 380880.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} + 5 q^{11} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display