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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 364650.cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.cr1 | 364650cr1 | \([1, 0, 1, -94861, 11237768]\) | \(-755214315383134781/18298545408\) | \(-2287318176000\) | \([]\) | \(1582080\) | \(1.4818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364650.cr do not have complex multiplication.Modular form 364650.2.a.cr
sage: E.q_eigenform(10)