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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 296208.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296208.c1 | 296208c1 | \([0, 0, 0, 15271773, 1155634957730]\) | \(9010188470393231/13201960638001752\) | \(-577160565784645966243135488\) | \([]\) | \(170726400\) | \(3.8140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296208.c do not have complex multiplication.Modular form 296208.2.a.c
sage: E.q_eigenform(10)