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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 28611q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.l1 | 28611q1 | \([0, 0, 1, -9699996, 11628030672]\) | \(-5736108018368512/11042163\) | \(-194301078093553563\) | \([]\) | \(737280\) | \(2.5712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28611q do not have complex multiplication.Modular form 28611.2.a.q
sage: E.q_eigenform(10)