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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 350658em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.em1 | 350658em1 | \([1, -1, 1, -467057966, 4213207547453]\) | \(-595911384446123713/60681357950976\) | \(-1147386328827464521828859904\) | \([]\) | \(298450944\) | \(3.9321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658em1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658em do not have complex multiplication.Modular form 350658.2.a.em
sage: E.q_eigenform(10)