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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 221067.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.e1 | 221067e1 | \([1, -1, 1, -23, -65172]\) | \(-1/1421\) | \(-1835175983949\) | \([]\) | \(285600\) | \(1.0321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221067.e do not have complex multiplication.Modular form 221067.2.a.e
sage: E.q_eigenform(10)