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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 3850.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3850.p1 | 3850z1 | \([1, 1, 1, 112, -219]\) | \(397535/308\) | \(-120312500\) | \([]\) | \(1440\) | \(0.23851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3850.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3850.p do not have complex multiplication.Modular form 3850.2.a.p
sage: E.q_eigenform(10)