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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 23120b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23120.m1 | 23120b1 | \([0, -1, 0, -96, 98656]\) | \(-2/85\) | \(-4201868011520\) | \([]\) | \(27648\) | \(1.1011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23120b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23120b do not have complex multiplication.Modular form 23120.2.a.b
sage: E.q_eigenform(10)