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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 161700cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.dt1 | 161700cj1 | \([0, 1, 0, -26133, -14920137]\) | \(-205520896/9882675\) | \(-94913210700000000\) | \([]\) | \(1244160\) | \(1.9376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700cj do not have complex multiplication.Modular form 161700.2.a.cj
sage: E.q_eigenform(10)