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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 213444t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.y1 | 213444t1 | \([0, 0, 0, 1903209, 668047534]\) | \(47061251888/39135393\) | \(-634000184108189192448\) | \([]\) | \(6912000\) | \(2.6793\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444t do not have complex multiplication.Modular form 213444.2.a.t
sage: E.q_eigenform(10)