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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 66240.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66240.t1 | 66240bh1 | \([0, 0, 0, 132, -808]\) | \(340736/575\) | \(-429235200\) | \([]\) | \(15360\) | \(0.34146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66240.t do not have complex multiplication.Modular form 66240.2.a.t
sage: E.q_eigenform(10)