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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 54150.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54150.i1 | 54150a1 | \([1, 1, 0, -46194650, 121624564500]\) | \(-41081844659329/314572800\) | \(-83477609059123200000000\) | \([]\) | \(7223040\) | \(3.2280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54150.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54150.i do not have complex multiplication.Modular form 54150.2.a.i
sage: E.q_eigenform(10)