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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 12480.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.f1 | 12480i1 | \([0, -1, 0, -421, 5245]\) | \(-504871936/394875\) | \(-6469632000\) | \([]\) | \(7680\) | \(0.58118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12480.f do not have complex multiplication.Modular form 12480.2.a.f
sage: E.q_eigenform(10)