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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 348480.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348480.b1 | 348480b1 | \([0, 0, 0, -8608908, 6382773232]\) | \(28471058/9375\) | \(23234620457937715200000\) | \([]\) | \(35143680\) | \(2.9946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348480.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348480.b do not have complex multiplication.Modular form 348480.2.a.b
sage: E.q_eigenform(10)