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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 75712.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75712.i1 | 75712da1 | \([0, 1, 0, -901, -903837]\) | \(-1024/4459\) | \(-352628593967104\) | \([]\) | \(258048\) | \(1.4703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75712.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75712.i do not have complex multiplication.Modular form 75712.2.a.i
sage: E.q_eigenform(10)