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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 450800x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.x1 | 450800x1 | \([0, 1, 0, -27848, 1789108]\) | \(-1942939229/12167\) | \(-14957039104000\) | \([]\) | \(1032192\) | \(1.3660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 450800x do not have complex multiplication.Modular form 450800.2.a.x
sage: E.q_eigenform(10)