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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 22386f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.c1 | 22386f1 | \([1, 1, 0, 4520, 26944]\) | \(10209133395200375/6179378429952\) | \(-6179378429952\) | \([]\) | \(51680\) | \(1.1436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22386f do not have complex multiplication.Modular form 22386.2.a.f
sage: E.q_eigenform(10)