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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 6630.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6630.l1 | 6630i1 | \([1, 0, 1, 104881, 10086626]\) | \(127591024063258622231/117712954934172000\) | \(-117712954934172000\) | \([]\) | \(124800\) | \(1.9629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6630.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6630.l do not have complex multiplication.Modular form 6630.2.a.l
sage: E.q_eigenform(10)