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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 55473.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.e1 | 55473b1 | \([0, -1, 1, -3216313, 2221361481]\) | \(-460816384000/29403\) | \(-234780756511844763\) | \([]\) | \(1377600\) | \(2.3911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55473.e do not have complex multiplication.Modular form 55473.2.a.e
sage: E.q_eigenform(10)