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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 38600.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38600.a1 | 38600m1 | \([0, 0, 0, -175, 850]\) | \(3704400/193\) | \(30880000\) | \([]\) | \(41472\) | \(0.19450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38600.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 38600.a do not have complex multiplication.Modular form 38600.2.a.a
sage: E.q_eigenform(10)