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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 1400.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1400.l1 | 1400d1 | \([0, -1, 0, -708, -16963]\) | \(-6288640/16807\) | \(-105043750000\) | \([]\) | \(1200\) | \(0.80228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1400.l do not have complex multiplication.Modular form 1400.2.a.l
sage: E.q_eigenform(10)