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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 139650.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.ci1 | 139650jr1 | \([1, 1, 0, -132215653875, 18600676633222125]\) | \(-2837709913983947389297630321/17162337388800000000000\) | \(-1545897808457681700000000000000000\) | \([]\) | \(1372250880\) | \(5.2078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.ci do not have complex multiplication.Modular form 139650.2.a.ci
sage: E.q_eigenform(10)