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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 185900.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185900.x1 | 185900y1 | \([0, 1, 0, -18308333, 3259900463]\) | \(25600000/14641\) | \(388151188300232500000000\) | \([]\) | \(17072640\) | \(3.2160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185900.x do not have complex multiplication.Modular form 185900.2.a.x
sage: E.q_eigenform(10)