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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 2800l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2800.j1 | 2800l1 | \([0, -1, 0, -4208, 106912]\) | \(-10303010/49\) | \(-39200000000\) | \([]\) | \(2880\) | \(0.88219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2800l do not have complex multiplication.Modular form 2800.2.a.l
sage: E.q_eigenform(10)