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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 15456j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15456.j1 | 15456j1 | \([0, -1, 0, -77, 76293]\) | \(-12487168/613472307\) | \(-2512782569472\) | \([]\) | \(21120\) | \(1.0583\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15456j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15456j do not have complex multiplication.Modular form 15456.2.a.j
sage: E.q_eigenform(10)