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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 36300f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36300.s1 | 36300f1 | \([0, -1, 0, -8873, 325602]\) | \(-901120/3\) | \(-257230657200\) | \([]\) | \(52272\) | \(1.0543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36300f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36300f do not have complex multiplication.Modular form 36300.2.a.f
sage: E.q_eigenform(10)