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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 139650.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.w1 | 139650ht1 | \([1, 1, 0, -2704405575, 54157429387125]\) | \(-47598241178539673499145/26807802601531392\) | \(-1231996550104518256800000000\) | \([]\) | \(152064000\) | \(4.1452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.w do not have complex multiplication.Modular form 139650.2.a.w
sage: E.q_eigenform(10)