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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 21675t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21675.i1 | 21675t1 | \([1, 0, 0, -873, 1782]\) | \(35242105/19683\) | \(41098596075\) | \([]\) | \(13608\) | \(0.72688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21675t do not have complex multiplication.Modular form 21675.2.a.t
sage: E.q_eigenform(10)