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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 44880.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44880.p1 | 44880bd1 | \([0, -1, 0, -1471016, 1863108720]\) | \(-85944135790429956649/316171526414008320\) | \(-1295038572191778078720\) | \([]\) | \(1762560\) | \(2.7368\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44880.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44880.p do not have complex multiplication.Modular form 44880.2.a.p
sage: E.q_eigenform(10)