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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 372810.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.cg1 | 372810cg1 | \([1, 0, 0, -38822821, 104039415401]\) | \(-268096690657988515441/38588659147593000\) | \(-931436422792507221417000\) | \([]\) | \(71124480\) | \(3.3299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.cg do not have complex multiplication.Modular form 372810.2.a.cg
sage: E.q_eigenform(10)