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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 16900.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16900.l1 | 16900e1 | \([0, 1, 0, -128158, 4056313]\) | \(1141504/625\) | \(127457925156250000\) | \([]\) | \(179712\) | \(1.9729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16900.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 16900.l do not have complex multiplication.Modular form 16900.2.a.l
sage: E.q_eigenform(10)