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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 43669.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43669.a1 | 43669a1 | \([0, 0, 1, -19, 30]\) | \(758550528/43669\) | \(43669\) | \([]\) | \(11176\) | \(-0.35561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43669.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 43669.a do not have complex multiplication.Modular form 43669.2.a.a
sage: E.q_eigenform(10)