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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 212160.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.t1 | 212160dn1 | \([0, -1, 0, 18559, -224799]\) | \(21573176244472/13114541115\) | \(-429737283256320\) | \([]\) | \(737280\) | \(1.4971\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 212160.t do not have complex multiplication.Modular form 212160.2.a.t
sage: E.q_eigenform(10)