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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 18150.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.t1 | 18150k1 | \([1, 1, 0, -240550, -45420140]\) | \(287250720625/663552\) | \(3555956605132800\) | \([]\) | \(164736\) | \(1.8648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18150.t do not have complex multiplication.Modular form 18150.2.a.t
sage: E.q_eigenform(10)