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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 392784l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.l1 | 392784l1 | \([0, -1, 0, 96, 2304]\) | \(482447/12024\) | \(-2413264896\) | \([]\) | \(207360\) | \(0.48053\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392784l do not have complex multiplication.Modular form 392784.2.a.l
sage: E.q_eigenform(10)