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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 342225cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
342225.cy1 | 342225cy1 | \([0, 0, 1, -114075, 12976031]\) | \(36864/5\) | \(22267050362578125\) | \([]\) | \(3732480\) | \(1.8640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 342225cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 342225cy do not have complex multiplication.Modular form 342225.2.a.cy
sage: E.q_eigenform(10)