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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 139650.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.da1 | 139650gh1 | \([1, 0, 1, 8549, -1430362]\) | \(23497109375/314399232\) | \(-924718881139200\) | \([]\) | \(829440\) | \(1.5525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.da1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.da do not have complex multiplication.Modular form 139650.2.a.da
sage: E.q_eigenform(10)