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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 222180.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.l1 | 222180j1 | \([0, 1, 0, -19110301, -23341419745]\) | \(38500260143104/10546446645\) | \(211431072763762389054720\) | \([]\) | \(30523392\) | \(3.1834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180.l do not have complex multiplication.Modular form 222180.2.a.l
sage: E.q_eigenform(10)