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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 440818.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.p1 | 440818p1 | \([1, 0, 0, 23929, -1578743]\) | \(590589719/762496\) | \(-1956356123956864\) | \([]\) | \(3523968\) | \(1.6201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 440818.p do not have complex multiplication.Modular form 440818.2.a.p
sage: E.q_eigenform(10)