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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 185150.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.k1 | 185150bp1 | \([1, 1, 0, -735, 23425]\) | \(-665492189/3294172\) | \(-217827123500\) | \([]\) | \(193536\) | \(0.86002\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 185150.k do not have complex multiplication.Modular form 185150.2.a.k
sage: E.q_eigenform(10)