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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 101400i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101400.i1 | 101400i1 | \([0, -1, 0, -445033, 175379437]\) | \(-504871936/394875\) | \(-7623944815500000000\) | \([]\) | \(1935360\) | \(2.3218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101400i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101400i do not have complex multiplication.Modular form 101400.2.a.i
sage: E.q_eigenform(10)