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SageMath
E = EllipticCurve("lb1")
E.isogeny_class()
Elliptic curves in class 95550.lb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.lb1 | 95550jd1 | \([1, 0, 0, -8143213, 54948684167]\) | \(-662989657192009/14097531093750\) | \(-1269835333543454589843750\) | \([]\) | \(22579200\) | \(3.3059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550.lb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95550.lb do not have complex multiplication.Modular form 95550.2.a.lb
sage: E.q_eigenform(10)