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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 3872.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3872.l1 | 3872d1 | \([0, -1, 0, 1775, 34113]\) | \(704\) | \(-878013976576\) | \([]\) | \(4224\) | \(0.97733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3872.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3872.l do not have complex multiplication.Modular form 3872.2.a.l
sage: E.q_eigenform(10)