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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 8281.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8281.l1 | 8281i1 | \([0, 0, 1, 8281, -188393]\) | \(110592/91\) | \(-51676101935731\) | \([]\) | \(32256\) | \(1.3191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8281.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8281.l do not have complex multiplication.Modular form 8281.2.a.l
sage: E.q_eigenform(10)