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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 193600.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.f1 | 193600a1 | \([0, 0, 0, -113740, 56966800]\) | \(-2803221/22528\) | \(-1307761908383744000\) | \([]\) | \(4055040\) | \(2.1591\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193600.f do not have complex multiplication.Modular form 193600.2.a.f
sage: E.q_eigenform(10)