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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 189618.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.t1 | 189618bd1 | \([1, 0, 1, -8906135, 10918577594]\) | \(-95773342660124233/7719031406592\) | \(-6296651054720936312832\) | \([]\) | \(18869760\) | \(2.9293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 189618.t do not have complex multiplication.Modular form 189618.2.a.t
sage: E.q_eigenform(10)