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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 148120.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.f1 | 148120g1 | \([0, 1, 0, -87921, -9081245]\) | \(555022860645376/59814453125\) | \(8100312500000000\) | \([]\) | \(1098240\) | \(1.7866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148120.f do not have complex multiplication.Modular form 148120.2.a.f
sage: E.q_eigenform(10)