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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 18150.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.x1 | 18150bm1 | \([1, 0, 1, -201, -1652]\) | \(-1071875/768\) | \(-638880000\) | \([]\) | \(16128\) | \(0.38939\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18150.x do not have complex multiplication.Modular form 18150.2.a.x
sage: E.q_eigenform(10)