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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 480960.fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
480960.fc1 | 480960fc1 | \([0, 0, 0, 23028, 996336]\) | \(190804533093/171008000\) | \(-1210375471104000\) | \([]\) | \(1916928\) | \(1.5815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 480960.fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 480960.fc do not have complex multiplication.Modular form 480960.2.a.fc
sage: E.q_eigenform(10)