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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 195195.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195195.t1 | 195195bg1 | \([0, -1, 1, -225218075, 1330454340308]\) | \(-261741945752892238495744/6936039686748046875\) | \(-33478938784352653388671875\) | \([]\) | \(52496640\) | \(3.6801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195195.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 195195.t do not have complex multiplication.Modular form 195195.2.a.t
sage: E.q_eigenform(10)