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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 185900.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185900.j1 | 185900j1 | \([0, -1, 0, -732333, 26372137]\) | \(25600000/14641\) | \(24841676051214880000\) | \([]\) | \(3414528\) | \(2.4113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185900.j do not have complex multiplication.Modular form 185900.2.a.j
sage: E.q_eigenform(10)