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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 5850t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5850.k1 | 5850t1 | \([1, -1, 0, -185742, -30791084]\) | \(-2488672890625/2426112\) | \(-690873300000000\) | \([]\) | \(46080\) | \(1.7681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5850t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5850t do not have complex multiplication.Modular form 5850.2.a.t
sage: E.q_eigenform(10)