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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 189618d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.bl1 | 189618d1 | \([1, 0, 0, 1043, -11311]\) | \(57111104051/58595328\) | \(-128733935616\) | \([]\) | \(278784\) | \(0.81857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 189618d do not have complex multiplication.Modular form 189618.2.a.d
sage: E.q_eigenform(10)