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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 192200bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
192200.bi1 | 192200bh1 | \([0, 0, 0, 120125, 37238750]\) | \(270\) | \(-710002944800000000\) | \([]\) | \(3326400\) | \(2.1082\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 192200bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 192200bh do not have complex multiplication.Modular form 192200.2.a.bh
sage: E.q_eigenform(10)