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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 75810.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.w1 | 75810r1 | \([1, 1, 0, -13703567, 19523486469]\) | \(-881946488857699/201684000\) | \(-65080945638859836000\) | \([]\) | \(5016000\) | \(2.7935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810.w do not have complex multiplication.Modular form 75810.2.a.w
sage: E.q_eigenform(10)