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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 80223l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80223.r1 | 80223l1 | \([0, 1, 1, -209854, -121518809]\) | \(-39404941312/222861483\) | \(-5780452911779543283\) | \([]\) | \(2078208\) | \(2.2840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80223l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80223l do not have complex multiplication.Modular form 80223.2.a.l
sage: E.q_eigenform(10)