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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3120.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3120.f1 | 3120b1 | \([0, -1, 0, 9719, -245915]\) | \(396555344454656/328867205355\) | \(-84190004570880\) | \([]\) | \(10560\) | \(1.3597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3120.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3120.f do not have complex multiplication.Modular form 3120.2.a.f
sage: E.q_eigenform(10)