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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 103056q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.a1 | 103056q1 | \([0, -1, 0, -2640, 40896]\) | \(496981290961/118720512\) | \(486279217152\) | \([]\) | \(278784\) | \(0.95379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103056q do not have complex multiplication.Modular form 103056.2.a.q
sage: E.q_eigenform(10)