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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 248256.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248256.i1 | 248256i1 | \([0, 0, 0, -5004, 136944]\) | \(-72511713/431\) | \(-82365382656\) | \([]\) | \(286720\) | \(0.93470\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256.i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 248256.i do not have complex multiplication.Modular form 248256.2.a.i
sage: E.q_eigenform(10)