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SageMath
E = EllipticCurve("fi1")
E.isogeny_class()
Elliptic curves in class 224400.fi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.fi1 | 224400bj1 | \([0, 1, 0, -1145408, 573211188]\) | \(-2596717791529849/718080000000\) | \(-45957120000000000000\) | \([]\) | \(8128512\) | \(2.4886\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.fi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400.fi do not have complex multiplication.Modular form 224400.2.a.fi
sage: E.q_eigenform(10)