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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 38025.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.v1 | 38025cj1 | \([1, -1, 1, 18220, -6885628]\) | \(304175/9477\) | \(-20841959139373125\) | \([]\) | \(193536\) | \(1.8113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38025.v do not have complex multiplication.Modular form 38025.2.a.v
sage: E.q_eigenform(10)