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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 46800.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.ch1 | 46800bk1 | \([0, 0, 0, -55020, 4979900]\) | \(-789601498112/2302911\) | \(-53722307808000\) | \([]\) | \(157696\) | \(1.5052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.ch do not have complex multiplication.Modular form 46800.2.a.ch
sage: E.q_eigenform(10)