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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 23120.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23120.q1 | 23120bf1 | \([0, -1, 0, 7520, -233728]\) | \(2336752783/2500000\) | \(-50309120000000\) | \([]\) | \(53760\) | \(1.3158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23120.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23120.q do not have complex multiplication.Modular form 23120.2.a.q
sage: E.q_eigenform(10)