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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1470g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 1470.h1 | 1470g1 | \([1, 0, 1, -30063, -5363102]\) | \(-10637008249/37791360\) | \(-10675123826048640\) | \([]\) | \(11760\) | \(1.7615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1470g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1470g do not have complex multiplication.Modular form 1470.2.a.g
sage: E.q_eigenform(10)