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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 151725j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151725.f1 | 151725j1 | \([0, -1, 1, -19748, 1072658]\) | \(1411502080/3213\) | \(1938850229925\) | \([]\) | \(539136\) | \(1.2393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 151725j do not have complex multiplication.Modular form 151725.2.a.j
sage: E.q_eigenform(10)