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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 28050t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.j1 | 28050t1 | \([1, 1, 0, -102450, -15849900]\) | \(-190276961027565625/62594753566752\) | \(-39121720979220000\) | \([]\) | \(262080\) | \(1.8961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28050t do not have complex multiplication.Modular form 28050.2.a.t
sage: E.q_eigenform(10)