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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 66424.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66424.l1 | 66424e1 | \([0, 1, 0, -120, -6391]\) | \(-256/23\) | \(-17312884208\) | \([]\) | \(52416\) | \(0.64416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66424.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66424.l do not have complex multiplication.Modular form 66424.2.a.l
sage: E.q_eigenform(10)