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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 124950.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.e1 | 124950r1 | \([1, 1, 0, 1375, 19125]\) | \(53582633/58752\) | \(-314874000000\) | \([]\) | \(188160\) | \(0.89284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124950.e do not have complex multiplication.Modular form 124950.2.a.e
sage: E.q_eigenform(10)