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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 216384f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.fb1 | 216384f1 | \([0, 1, 0, -76897, -11678689]\) | \(-3261064466/1917027\) | \(-29561495161798656\) | \([]\) | \(1843200\) | \(1.8630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 216384f do not have complex multiplication.Modular form 216384.2.a.f
sage: E.q_eigenform(10)