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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 120384.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
120384.l1 | 120384a1 | \([0, 0, 0, 864, -7776]\) | \(221184/209\) | \(-67399630848\) | \([]\) | \(101376\) | \(0.76499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 120384.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 120384.l do not have complex multiplication.Modular form 120384.2.a.l
sage: E.q_eigenform(10)