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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 187200.er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.er1 | 187200lq1 | \([0, 0, 0, -90, 270]\) | \(69120/13\) | \(15163200\) | \([]\) | \(26880\) | \(0.095685\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.er1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.er do not have complex multiplication.Modular form 187200.2.a.er
sage: E.q_eigenform(10)