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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 116688.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116688.q1 | 116688v1 | \([0, 1, 0, -5802904, -5662720108]\) | \(-5275941807135921123097/326485867713527808\) | \(-1337286114154609901568\) | \([]\) | \(5617920\) | \(2.8081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116688.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116688.q do not have complex multiplication.Modular form 116688.2.a.q
sage: E.q_eigenform(10)