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SageMath
E = EllipticCurve("ge1")
E.isogeny_class()
Elliptic curves in class 76050.ge
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.ge1 | 76050ex1 | \([1, -1, 1, 3010, -109573]\) | \(34295/78\) | \(-6861550333950\) | \([]\) | \(225792\) | \(1.1472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050.ge1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76050.ge do not have complex multiplication.Modular form 76050.2.a.ge
sage: E.q_eigenform(10)