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SageMath
E = EllipticCurve("is1")
E.isogeny_class()
Elliptic curves in class 139650.is
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.is1 | 139650cd1 | \([1, 0, 0, 1632812, -643601008]\) | \(628805222251722551/597713542447104\) | \(-457624430936064000000\) | \([]\) | \(7902720\) | \(2.6515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.is1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.is do not have complex multiplication.Modular form 139650.2.a.is
sage: E.q_eigenform(10)