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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 19890.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19890.t1 | 19890bb1 | \([1, -1, 1, 34402, 1067397]\) | \(6176736766011239/4260587175000\) | \(-3105968050575000\) | \([]\) | \(115200\) | \(1.6613\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19890.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19890.t do not have complex multiplication.Modular form 19890.2.a.t
sage: E.q_eigenform(10)