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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 66654l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.w1 | 66654l1 | \([1, -1, 0, 4662, 194548]\) | \(54922367/112896\) | \(-23031245631744\) | \([]\) | \(147456\) | \(1.2484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66654l do not have complex multiplication.Modular form 66654.2.a.l
sage: E.q_eigenform(10)