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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 10143t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10143.e1 | 10143t1 | \([0, 0, 1, -42483, -3932924]\) | \(-98867482624/20696067\) | \(-1775021386546107\) | \([]\) | \(115200\) | \(1.6478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10143t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10143t do not have complex multiplication.Modular form 10143.2.a.t
sage: E.q_eigenform(10)