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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 37485.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37485.e1 | 37485bo1 | \([0, 0, 1, -167727, 61442190]\) | \(-17738739712/45172485\) | \(-1328874203332574955\) | \([]\) | \(903168\) | \(2.1653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37485.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37485.e do not have complex multiplication.Modular form 37485.2.a.e
sage: E.q_eigenform(10)