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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 117600.fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.fc1 | 117600gj1 | \([0, 1, 0, -4479008, -3650101512]\) | \(-215474070728/3645\) | \(-168101597160000000\) | \([]\) | \(2128896\) | \(2.4353\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600.fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600.fc do not have complex multiplication.Modular form 117600.2.a.fc
sage: E.q_eigenform(10)