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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 82764.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82764.l1 | 82764m1 | \([0, 0, 0, -23232, -1368268]\) | \(-4194304/19\) | \(-6281700201216\) | \([]\) | \(171360\) | \(1.3073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82764.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 82764.l do not have complex multiplication.Modular form 82764.2.a.l
sage: E.q_eigenform(10)