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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 206400.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.t1 | 206400jb1 | \([0, -1, 0, 550367, 883871137]\) | \(9002230481662/170068359375\) | \(-348300000000000000000\) | \([]\) | \(8110080\) | \(2.6220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400.t do not have complex multiplication.Modular form 206400.2.a.t
sage: E.q_eigenform(10)