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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 118354j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.c1 | 118354j1 | \([1, 1, 0, -41844, 6105664]\) | \(-192100033/272816\) | \(-11507524465803056\) | \([]\) | \(890880\) | \(1.7740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118354j do not have complex multiplication.Modular form 118354.2.a.j
sage: E.q_eigenform(10)