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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 23184f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.b1 | 23184f1 | \([0, 0, 0, -1812, -29860]\) | \(-3525581824/23667\) | \(-4416830208\) | \([]\) | \(26112\) | \(0.68585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23184f do not have complex multiplication.Modular form 23184.2.a.f
sage: E.q_eigenform(10)