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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 130536.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
130536.j1 | 130536c1 | \([0, 0, 0, -7017339, 8049401206]\) | \(-217568172289106/33447302217\) | \(-5874985715848786446336\) | \([]\) | \(6266880\) | \(2.9061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 130536.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 130536.j do not have complex multiplication.Modular form 130536.2.a.j
sage: E.q_eigenform(10)