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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 23104ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23104.l1 | 23104ca1 | \([0, 1, 0, -30805, -2099469]\) | \(-4194304/19\) | \(-14645194571776\) | \([]\) | \(69120\) | \(1.3779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23104ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23104ca do not have complex multiplication.Modular form 23104.2.a.ca
sage: E.q_eigenform(10)