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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 74529.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74529.f1 | 74529be1 | \([1, -1, 1, 30388, -8184900]\) | \(17999471/177957\) | \(-30683069090337573\) | \([]\) | \(774144\) | \(1.8447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74529.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74529.f do not have complex multiplication.Modular form 74529.2.a.f
sage: E.q_eigenform(10)