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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 200400f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.cz1 | 200400f1 | \([0, 1, 0, -49568, -4264332]\) | \(-26306719916021/730458\) | \(-373994496000\) | \([]\) | \(483840\) | \(1.3234\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400f do not have complex multiplication.Modular form 200400.2.a.f
sage: E.q_eigenform(10)