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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 13225.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13225.b1 | 13225m1 | \([0, 1, 1, -9698, -372186]\) | \(-5451776/23\) | \(-425603180875\) | \([]\) | \(29568\) | \(1.0860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13225.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13225.b do not have complex multiplication.Modular form 13225.2.a.b
sage: E.q_eigenform(10)