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SageMath
E = EllipticCurve("ie1")
E.isogeny_class()
Elliptic curves in class 88200ie
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.dl1 | 88200ie1 | \([0, 0, 0, 55125, -11576250]\) | \(270\) | \(-68612896800000000\) | \([]\) | \(604800\) | \(1.9135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200ie1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200ie do not have complex multiplication.Modular form 88200.2.a.ie
sage: E.q_eigenform(10)