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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 37485bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37485.c1 | 37485bh1 | \([0, 0, 1, -3423, -179132]\) | \(-17738739712/45172485\) | \(-11295244356795\) | \([]\) | \(129024\) | \(1.1924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37485bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37485bh do not have complex multiplication.Modular form 37485.2.a.bh
sage: E.q_eigenform(10)