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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3850a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3850.h1 | 3850a1 | \([1, 0, 1, 4, -2]\) | \(397535/308\) | \(-7700\) | \([]\) | \(288\) | \(-0.56621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3850a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3850a do not have complex multiplication.Modular form 3850.2.a.a
sage: E.q_eigenform(10)