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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 11109j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11109.c1 | 11109j1 | \([1, 0, 0, -17997, -972846]\) | \(-8231953/441\) | \(-34535144508921\) | \([]\) | \(30912\) | \(1.3566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11109j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11109j do not have complex multiplication.Modular form 11109.2.a.j
sage: E.q_eigenform(10)