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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 20216.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20216.e1 | 20216a1 | \([0, -1, 0, -120, -107]\) | \(92416/49\) | \(102171664\) | \([]\) | \(2880\) | \(0.22831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20216.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20216.e do not have complex multiplication.Modular form 20216.2.a.e
sage: E.q_eigenform(10)