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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 286650t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.t1 | 286650t1 | \([1, -1, 0, -28450242, -57926063084]\) | \(1551349793665/14556672\) | \(23896482544279800000000\) | \([]\) | \(35562240\) | \(3.1150\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 286650t do not have complex multiplication.Modular form 286650.2.a.t
sage: E.q_eigenform(10)