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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 122199d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122199.d1 | 122199d1 | \([0, -1, 1, 7790936, -18564712212]\) | \(29036351328256/99443033613\) | \(-179112084656009518755819\) | \([]\) | \(24853248\) | \(3.1449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122199d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122199d do not have complex multiplication.Modular form 122199.2.a.d
sage: E.q_eigenform(10)