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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 279174.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.bh1 | 279174bh1 | \([1, 0, 1, -8857423, 17143294004]\) | \(-648045510056153/695677596138\) | \(-82498928852542988168586\) | \([]\) | \(27025920\) | \(3.0922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279174.bh do not have complex multiplication.Modular form 279174.2.a.bh
sage: E.q_eigenform(10)