Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 30015k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30015.h1 | 30015k1 | \([0, 0, 1, -937869672, -3653181401733]\) | \(125147927114815865709295304704/64514985611316331088611125\) | \(47031424510649605363597510125\) | \([]\) | \(17122560\) | \(4.1938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30015k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30015k do not have complex multiplication.Modular form 30015.2.a.k
sage: E.q_eigenform(10)