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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 20070bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20070.bc1 | 20070bh1 | \([1, -1, 1, 13, 101]\) | \(357911/6690\) | \(-4877010\) | \([]\) | \(3520\) | \(-0.036239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20070bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20070bh do not have complex multiplication.Modular form 20070.2.a.bh
sage: E.q_eigenform(10)