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SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 473382.et
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
473382.et1 | 473382et1 | \([1, -1, 1, -19562, 1215177]\) | \(-47045881/8736\) | \(-153721170229536\) | \([]\) | \(1530880\) | \(1.4467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473382.et1 has rank \(0\).
Complex multiplication
The elliptic curves in class 473382.et do not have complex multiplication.Modular form 473382.2.a.et
sage: E.q_eigenform(10)