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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 476850e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.e1 | 476850e1 | \([1, 1, 0, -461105, 117480165]\) | \(215127265/5808\) | \(292722314345194800\) | \([]\) | \(7990272\) | \(2.1319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850e do not have complex multiplication.Modular form 476850.2.a.e
sage: E.q_eigenform(10)