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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 6534t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6534.v1 | 6534t1 | \([1, -1, 1, -132518, -12801995]\) | \(6777507/2048\) | \(77768770954254336\) | \([]\) | \(52272\) | \(1.9462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6534t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6534t do not have complex multiplication.Modular form 6534.2.a.t
sage: E.q_eigenform(10)