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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 30400.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30400.bh1 | 30400bc1 | \([0, 0, 0, -350, -75750]\) | \(-4741632/2476099\) | \(-2476099000000\) | \([]\) | \(51840\) | \(1.0572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30400.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30400.bh do not have complex multiplication.Modular form 30400.2.a.bh
sage: E.q_eigenform(10)