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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 248430.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.bh1 | 248430bh1 | \([1, 1, 0, -505313, 158836917]\) | \(-1231272543361/230400000\) | \(-2670144401433600000\) | \([]\) | \(6402240\) | \(2.2600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248430.bh do not have complex multiplication.Modular form 248430.2.a.bh
sage: E.q_eigenform(10)