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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 190575.ep
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.ep1 | 190575fe1 | \([0, 0, 1, -898425, -548579969]\) | \(-80621568/84035\) | \(-83594587871187421875\) | \([]\) | \(7096320\) | \(2.5180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.ep1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575.ep do not have complex multiplication.Modular form 190575.2.a.ep
sage: E.q_eigenform(10)