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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 78400.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.y1 | 78400fv1 | \([0, 0, 0, -563500, -176027600]\) | \(-1026590625/100352\) | \(-1934346231480320000\) | \([]\) | \(2433024\) | \(2.2498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400.y do not have complex multiplication.Modular form 78400.2.a.y
sage: E.q_eigenform(10)