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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 84150e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.bc1 | 84150e1 | \([1, -1, 0, -417, 15741]\) | \(-19034163/239360\) | \(-100980000000\) | \([]\) | \(86016\) | \(0.79326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 84150e do not have complex multiplication.Modular form 84150.2.a.e
sage: E.q_eigenform(10)