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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 16560.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16560.f1 | 16560m1 | \([0, 0, 0, 13212, -76788]\) | \(1366664500224/804542875\) | \(-150147009504000\) | \([]\) | \(46080\) | \(1.4096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16560.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16560.f do not have complex multiplication.Modular form 16560.2.a.f
sage: E.q_eigenform(10)