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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 6762.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.l1 | 6762q1 | \([1, 0, 1, -251445, 48748480]\) | \(-14943832855786297/85501108224\) | \(-10059119881445376\) | \([]\) | \(74880\) | \(1.9124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6762.l do not have complex multiplication.Modular form 6762.2.a.l
sage: E.q_eigenform(10)