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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 64400.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.t1 | 64400be1 | \([0, -1, 0, 9201467, -19208420563]\) | \(1346216501445963776/3268768272021875\) | \(-209201169409400000000000\) | \([]\) | \(5491200\) | \(3.1587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.t do not have complex multiplication.Modular form 64400.2.a.t
sage: E.q_eigenform(10)