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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 190575.em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.em1 | 190575ew1 | \([0, 0, 1, -3439425, 2463140281]\) | \(-222985990144/841995\) | \(-16990774571221171875\) | \([]\) | \(7741440\) | \(2.5493\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.em1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575.em do not have complex multiplication.Modular form 190575.2.a.em
sage: E.q_eigenform(10)