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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 440818.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.j1 | 440818j1 | \([1, 1, 0, -521321, 144768005]\) | \(-11445564697427950273/9680856285184\) | \(-13253092254416896\) | \([]\) | \(6386688\) | \(2.0210\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 440818.j do not have complex multiplication.Modular form 440818.2.a.j
sage: E.q_eigenform(10)