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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 18150u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.f1 | 18150u1 | \([1, 1, 0, -1575, -1380375]\) | \(-625/1188\) | \(-822115026562500\) | \([]\) | \(86400\) | \(1.5409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18150u do not have complex multiplication.Modular form 18150.2.a.u
sage: E.q_eigenform(10)