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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 85800.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.l1 | 85800e1 | \([0, -1, 0, -148, 877]\) | \(-902360320/217503\) | \(-87001200\) | \([]\) | \(34560\) | \(0.24209\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 85800.l do not have complex multiplication.Modular form 85800.2.a.l
sage: E.q_eigenform(10)