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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 46800.fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.fo1 | 46800ei1 | \([0, 0, 0, 285, 3170]\) | \(34295/78\) | \(-5822668800\) | \([]\) | \(32256\) | \(0.55784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.fo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46800.fo do not have complex multiplication.Modular form 46800.2.a.fo
sage: E.q_eigenform(10)