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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 404600i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
404600.i1 | 404600i1 | \([0, 1, 0, -204708, -84567287]\) | \(-6288640/16807\) | \(-2535500763643750000\) | \([]\) | \(6220800\) | \(2.2189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 404600i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 404600i do not have complex multiplication.Modular form 404600.2.a.i
sage: E.q_eigenform(10)