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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 12138v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12138.y1 | 12138v1 | \([1, 0, 0, -6, 252]\) | \(-83521/95256\) | \(-27528984\) | \([]\) | \(4320\) | \(0.10657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12138v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12138v do not have complex multiplication.Modular form 12138.2.a.v
sage: E.q_eigenform(10)