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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 33810x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33810.o1 | 33810x1 | \([1, 1, 0, 32705788, -201134658864]\) | \(78958967971393932466594151/402408000000000000000000\) | \(-19717992000000000000000000\) | \([]\) | \(10160640\) | \(3.5358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33810x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33810x do not have complex multiplication.Modular form 33810.2.a.x
sage: E.q_eigenform(10)