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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 55470.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.v1 | 55470u1 | \([1, 1, 1, 222305182134, 266453215936879959]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-31373938148231860089343967232000000000\) | \([]\) | \(1974551040\) | \(5.8751\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55470.v do not have complex multiplication.Modular form 55470.2.a.v
sage: E.q_eigenform(10)