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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 10143.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10143.l1 | 10143k1 | \([0, 0, 1, 144060, 210301789]\) | \(1605632000/93710763\) | \(-19297337940943235523\) | \([]\) | \(118272\) | \(2.3802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10143.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10143.l do not have complex multiplication.Modular form 10143.2.a.l
sage: E.q_eigenform(10)