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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 143312b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143312.b1 | 143312b1 | \([0, 1, 0, -74416, 7793748]\) | \(-2305199161/1696\) | \(-33530953990144\) | \([]\) | \(518400\) | \(1.5294\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143312b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143312b do not have complex multiplication.Modular form 143312.2.a.b
sage: E.q_eigenform(10)