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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 11774.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11774.i1 | 11774g1 | \([1, 1, 1, -45768499, -123783309711]\) | \(-21195308337309457/962072674304\) | \(-481273404328372437254144\) | \([]\) | \(2446440\) | \(3.3083\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11774.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11774.i do not have complex multiplication.Modular form 11774.2.a.i
sage: E.q_eigenform(10)