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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 3850.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3850.r1 | 3850m1 | \([1, -1, 1, -2305, 43447]\) | \(-138630825/1078\) | \(-10527343750\) | \([]\) | \(3360\) | \(0.75221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3850.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3850.r do not have complex multiplication.Modular form 3850.2.a.r
sage: E.q_eigenform(10)