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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 29400.cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.cr1 | 29400bw1 | \([0, 1, 0, -377708, 89236713]\) | \(-324179200/63\) | \(-1158107343750000\) | \([]\) | \(322560\) | \(1.8904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.cr do not have complex multiplication.Modular form 29400.2.a.cr
sage: E.q_eigenform(10)