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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 141570.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.ch1 | 141570de1 | \([1, -1, 0, -75542319, -252709038675]\) | \(-305088363822419089/15974400000\) | \(-2496281536803225600000\) | \([]\) | \(14361600\) | \(3.1743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141570.ch do not have complex multiplication.Modular form 141570.2.a.ch
sage: E.q_eigenform(10)