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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 388416.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.f1 | 388416f1 | \([0, -1, 0, 33532863, -31952231199]\) | \(2280364702703/1560674304\) | \(-2853931683441671160201216\) | \([]\) | \(79902720\) | \(3.3812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388416.f do not have complex multiplication.Modular form 388416.2.a.f
sage: E.q_eigenform(10)