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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 16830cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16830.bv1 | 16830cb1 | \([1, -1, 1, -38183, -2935713]\) | \(-8444922396903721/253364474880\) | \(-184702702187520\) | \([]\) | \(80640\) | \(1.5155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16830cb do not have complex multiplication.Modular form 16830.2.a.cb
sage: E.q_eigenform(10)