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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 245025b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
245025.b1 | 245025b1 | \([0, 0, 1, -9075, 291156]\) | \(36864/5\) | \(11210659453125\) | \([]\) | \(685440\) | \(1.2312\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 245025b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 245025b do not have complex multiplication.Modular form 245025.2.a.b
sage: E.q_eigenform(10)