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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 1914.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1914.i1 | 1914k1 | \([1, 1, 1, 649, -3283]\) | \(30228456935951/22947512544\) | \(-22947512544\) | \([]\) | \(1200\) | \(0.67617\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1914.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1914.i do not have complex multiplication.Modular form 1914.2.a.i
sage: E.q_eigenform(10)