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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 63426.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.y1 | 63426t1 | \([1, 1, 1, -15748888, 24064158785]\) | \(-16338724609375/11595672\) | \(-306585186379072215912\) | \([]\) | \(4047360\) | \(2.8668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426.y do not have complex multiplication.Modular form 63426.2.a.y
sage: E.q_eigenform(10)