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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 438244.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
438244.b1 | 438244b1 | \([0, -1, 0, 292163, -111577734]\) | \(131072/331\) | \(-6964916899371747376\) | \([]\) | \(11832480\) | \(2.2994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 438244.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 438244.b do not have complex multiplication.Modular form 438244.2.a.b
sage: E.q_eigenform(10)