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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 22050.ep
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.ep1 | 22050ea1 | \([1, -1, 1, -8105, -282103]\) | \(-105484561/1440\) | \(-803722500000\) | \([]\) | \(46080\) | \(1.0912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050.ep do not have complex multiplication.Modular form 22050.2.a.ep
sage: E.q_eigenform(10)