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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 146016e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146016.t1 | 146016e1 | \([0, 0, 0, -1755, -27378]\) | \(27000\) | \(22140698112\) | \([]\) | \(89856\) | \(0.75416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146016e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 146016e do not have complex multiplication.Modular form 146016.2.a.e
sage: E.q_eigenform(10)