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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 443760.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.l1 | 443760l1 | \([0, -1, 0, -33296, -2040960]\) | \(539033907481/71744535\) | \(543357522800640\) | \([]\) | \(1935360\) | \(1.5551\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443760.l do not have complex multiplication.Modular form 443760.2.a.l
sage: E.q_eigenform(10)