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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 8280.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8280.j1 | 8280t1 | \([0, 0, 0, 13212, 76788]\) | \(1366664500224/804542875\) | \(-150147009504000\) | \([]\) | \(23040\) | \(1.4096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8280.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8280.j do not have complex multiplication.Modular form 8280.2.a.j
sage: E.q_eigenform(10)