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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 3850.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3850.w1 | 3850q1 | \([1, -1, 1, 185, 1727]\) | \(28151260695/70647808\) | \(-1766195200\) | \([]\) | \(1632\) | \(0.45815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3850.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3850.w do not have complex multiplication.Modular form 3850.2.a.w
sage: E.q_eigenform(10)