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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 94192.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.y1 | 94192b1 | \([0, 1, 0, -235760, 126026996]\) | \(-1682/7\) | \(-6031258896591681536\) | \([]\) | \(1141440\) | \(2.2888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94192.y do not have complex multiplication.Modular form 94192.2.a.y
sage: E.q_eigenform(10)