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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 134310.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.b1 | 134310cn1 | \([1, 1, 0, 5012907, -36960328467]\) | \(64990673608514951/2790970315280640\) | \(-598269273687775191363840\) | \([]\) | \(19464192\) | \(3.2422\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310.b do not have complex multiplication.Modular form 134310.2.a.b
sage: E.q_eigenform(10)