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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 103056y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.ba1 | 103056y1 | \([0, 1, 0, 19, 66]\) | \(44957696/122379\) | \(-1958064\) | \([]\) | \(21888\) | \(-0.10911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103056y do not have complex multiplication.Modular form 103056.2.a.y
sage: E.q_eigenform(10)