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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 40204i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40204.k1 | 40204i1 | \([0, -1, 0, -11285, 467009]\) | \(-4194304/19\) | \(-720046564096\) | \([]\) | \(67584\) | \(1.1268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40204i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40204i do not have complex multiplication.Modular form 40204.2.a.i
sage: E.q_eigenform(10)