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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 102850t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.l1 | 102850t1 | \([1, 1, 0, 164195, 4226765]\) | \(11053587253415/6565418768\) | \(-290775995951421200\) | \([]\) | \(1720320\) | \(2.0403\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850t do not have complex multiplication.Modular form 102850.2.a.t
sage: E.q_eigenform(10)