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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 189618.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.x1 | 189618bh1 | \([1, 0, 1, 152096, 534193454]\) | \(477017570471/151393093632\) | \(-123495997422851868672\) | \([]\) | \(13178880\) | \(2.5344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 189618.x do not have complex multiplication.Modular form 189618.2.a.x
sage: E.q_eigenform(10)